kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 degrees, how far is Kurt standing from the base of the pole?

Answers

Answer 1

angle of elevation, aoe = 59 deg

height, h = 40ft

distance from pole, dfp

using

tan 59deg = h/dfp

=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft

Answer 2

Answer:

24.04 ft

Step-by-step explanation:

Kurt spots  a bird sitting at the top of a 40 foot tall telephone pole

Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg,  the pole itself and line joining Kurt leg and top of pole.

This is right angled and since angle of elevation is given as 59

we have

height of pole/distance of Kurt from base = tan 59

i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]

where d is the required distance of Kurt from the pole.

Hence x = 24.038

=24.04 feet


Related Questions

determine the coefficient of the term “-15x”

Answers

-15 because -15x is the variable term

Answer:

Step-by-step explanation:

The "coefficient" of x here is -15.

"determine the coefficient of the term “-15x” " is not a valid question.

Convert 96 ounces to pounds.

4 lb.
5 lb.
6 lb.
10 lb.

Answers

Answer: C; 6 lbs.

Step-by-step explanation: There are 16 ounces in a pound, so 96 divided by 16 is 6.

Answer:

6 Pounds is your answer.

Step-by-step explanation:

Help with function homework

Answers

-2

the minimum value means the vertex, and to find the vertex use the formula -b/2a which would give you -2 which is the axis of symmetry then plug in -2 for x to get the minimum value. 2(-2)^2 + 8(-2) + 6 = 8 - 16 + 8 = -2 .the vertex point would be (-2,-2)

Find the probability of not rolling factors of 5 on both die

Answers

Answer:

Step-by-step explanation:

2 factors of 5 on each die (2x2=4-12=8) so the answer would be 8

Jinny is selling bracelets for $4.50. So far, she has earned $315.00. She needs to earn more than $441.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal?
A.
x > 70
B.
x > 168
C.
x > 28
D.
x > 98

Answers

Answer:

Step-by-step explanation:

hey if i've done it correctly its C.28.

first do 441.00 - 3.15.00 = 126

then do 126.00 divided by 4.50 = 28

factorize 27x^3-16y^3

Answers

Answer:

This expression can not be factored with rational numbers.

The polynomial is not factorable with rational numbers.

Help Me ASAP

A builder is buying property to buy new houses. The sizes of the lots are 1/6,1/2,1/3,1/2,1/6,1/2,1/2,1/3,1/6,1/2,1/6,1/2,1/6,1/6,and 1/3 acre. Organize the information in a line plot

What is the average size of the lots?

______acre


i know how to do a line plot just can't figure the answer out.​

Answers

Final answer:

To find the average size of the lots provided, organize the information in a line plot and calculate the average by summing the areas of the lots and dividing by the total number of lots.

Explanation:

Line Plot:

Average Size of Lots:

1/6 acre (3 lots)

1/2 acre (6 lots)

1/3 acre (3 lots)

To find the average size, add the areas of all lots and divide by the total number of lots. In this case, the average size of the lots would be 17/36 acre.

3 - z/4 = 8
what is the solution of this equation ?

Answers

Answer:

z = - 20

Step-by-step explanation:

3 - z/4 = 8

-z/4 = 5

z = -20

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{3-\frac{z}{4}=8; \rightarrow 3+\frac{-1}{4}=8}[/tex][tex]\bold{\frac{-1}{4}z+3=8}\\\\ \bold{Subtract\ by\ the\ number\ 3\ on\ your\ sides\downarrow}\\\\\bold{Like:\frac{-1}{4}z+3=8-3}\\\bold{Cancel:3-3\ because\ that\ gives\ us\ the\ result\ of\ 0}\\\bold{Keep:8-3\ because\ it\ helps\ us\ solve\ for\ our\ \underline{ANSWER}}\\\\\bold{Multiply\ by\ -4\ on\ each\ of\ your\ sides}\\\bold{Like:-4(\frac{-1}{4}z)}=-4(5)\\\bold{Cancel:-4(\frac{-1}{4}) \ because\ it\ gives\ you\ the\ result\ of\ 1}\\\bold{Keep:-4(5)because\ it\ gives\ you\ your\ \underline{ANSWER}}[/tex][tex]\boxed{\boxed{\bold{Answer:z=-20}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

what is nine thousand one hundred forty five divided by 3​

Answers

Answer:

3,315 is the answer

Step-by-step explanation:

1) Just divide

9945 ÷ 3 = 3,315

Not hard

But here my answer!

Wrong problem it reads 9145 / 3 =1,048 and 1/3

find the surface area of this triangular prism ​

Answers

To find the surface area, find the area of each side and then add them together.

The bottom is 8 x 2 = 16

The left side is 6 x 2 = 12

The slanted side is 10 x 2 = 20

The front triangle is  1/2 x 8 x 6 = 24

The back triangle is the same as the front = 24

Total surface area = 16 + 12 + 20 + 24+24 = 96 square inches.

ARE E,F & H collinear?

Yes;they lie on EH
NO;the three points are not collinear
Yes;they lie on FH
Yes;they lie on EG

Answers

Answer:

Step-by-step explanation:

Yes; the 3 points all lie on EG.

Answer: Yes;they lie on EG

Step-by-step explanation:

What is the circumference of the circle? Use 3.14 for pi
d= 33 cm

Answers

Answer:

C = 103.62 CM

Step-by-step explanation:

C = Pi*D

C =(3.14)*(33)

C = 103.62 cm

Best regards

Answer:

103.62

Step-by-step explanation:

The Formula for circumference is C = d[tex]\pi[/tex]

pi is 3.14. and the diameter is 33 so..

3.14 x 33 = 103.62

Hope this helps! Please mark as brainliest! Thanks!

1/2- 1/4 write in simplest form

Answers

Answer:

The answer is 1/4 Also if your having a hard time with fractions use calculator soup its easy thats what i use

Step-by-step explanation:

The simplest form of the expression 1/2 - 1/4 is 1/4.

To simplify the expression 1/2 - 1/4, we first need to find a common denominator, which is the same denominator that both fractions share. In this case, the common denominator is 4.

To make 1/2 have a denominator of 4, we need to multiply both the numerator and denominator by 2. This gives us (1 * 2) / (2 * 2), which simplifies to 2/4.

So, the expression becomes 2/4 - 1/4. Now that both fractions have the same denominator, we can subtract their numerators while keeping the denominator the same:

(2 - 1) / 4 = 1/4

Therefore, the simplified form of 1/2 - 1/4 is 1/4. This means that if you have half (1/2) of something and you subtract a quarter (1/4) from it, you are left with one-quarter (1/4) of that something.

Simplifying fractions is essential in mathematics because it helps express quantities in their most reduced and straightforward forms, making them easier to work with and understand. In this case, 1/2 - 1/4 simplifies to 1/4, representing a clear and concise result.

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are he two expression equivalent if x=5. 7x+3x. 9x+5

Answers

Answer:

yes, the two expressions are equivalent when x = 5

Step-by-step explanation:

7(5)=35

3(5)=15

35+15=50

9(5)=45

45+5=50

Answer:

Yes

Steps:

1) plug in 5 into the first equation:

7 • 5 = 35 + (3 • 5)= 35 + 15 = 50

2) plug in 5 into the second equation:

9 • 5 = 45 • 5 = 50

3) Compare:

50 = 50

Apply the distributive property to simplify the expression. -7(4x-3)

Answers

Answer:

Step-by-step explanation:

(-7*4x)(-7*-3)

-28x+21

Thats the answer

Final answer:

To simplify the expression -7(4x-3), distribute -7 to each term inside the parentheses and multiply. The simplified expression is -28x + 21.

Explanation:

To simplify the expression -7(4x-3) using the distributive property, you need to distribute the -7 to each term inside the parentheses. This means multiplying -7 by both 4x and -3.

The product of -7 and 4x is -28x, and the product of -7 and -3 is 21.

Therefore, the simplified expression is -28x + 21.

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I DON'T understand ​

Answers

Answer:

f(g(x)) = 72x^2+1

Step-by-step explanation:

f(x) = 2x^2 +1

g(x) = -6x

f°g(x) means f(g(x))

Take g(x) and substitute it in for x in f(x)

f(g(x)) = 2(g(x))^2 +1

           =2(-6x)^2 +1

          =2(36x^2) +1

           =72x^2 +1

Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation? {–12, 2} {–2, 12}

Answers

Answer: I could be wrong so don't get your hopes up but I believe the solution set would be {-2,12}

Step-by-step explanation:

Answer:

The solution set is {-12,2}.

Step-by-step explanation:

We have given a quadratic equation.

x² + 10x = 24

We have to find the solution of above equation by completing square.

Adding (5)² to both sides of above equation, we have

x²+10+(5)²  = 24+ (5)²

(x+5)² = 24+25

(x+5)² = 49

Taking square root to both sides of above equation, we have

x+5 = ±7

x+5 = 7 or x+5 = -7

x = 7-5 or x = -7-5

x = 2 or  x = -12

Hence, the solution set is {-12,2}.

The graph of g(x), shown below,is a vertical shift of the graph f(x)=3^x write the equation for g(x)

Answers

Answer: OPTION D

Step-by-step explanation:

By definition, an exponential parent function (The simplest forn of an exponentil function) has the following form:

[tex]f(x)=b^x[/tex]

When an exponential function has the form [tex]f(x)=b^x+k[/tex], means that this is shifted k units up.

Therefore, keeping the above on mind, you can conclude that the equation of the function g(x) is the shown below:

[tex]g(x)=3^x+1[/tex]

Answer:

D

Step-by-step explanation:

Which expression is equivalent to 7p + 8+ p + 6 - 4p?

A. 2(2p + 7)

B. 2(2p + 1)

C. 2(8p - 5)

D. 4(p +1)

Answers

Answer:

the answer is A)

Step-by-step explanation:

combine like terms

4p+14

a=

2x2p+2x7

hope this helps

A cylinder has a radius of 10 feet and a height of 11.4 feet. What is the approximate volume of the cylinder? Use 3.14 for pi

Answers

Answer:

3,579.6

Step-by-step explanation:

Volume of a cylinder: V = πr^2h

Answer:

3580 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

r = 10 ft

h = 11.4 ft

Calculations:

V = πr²h = 3.14 × 10² × 11.4 = 3580 ft³

The approximate volume of the cylinder is 3580 ft³.

a point occupies zero dimensions true or false

Answers

Answer: True.

Step-by-step explanation:

In geometry , we have three undefined terms as :

1) point      [ no dimension]

2) line        [ one dimension]

3) plane     [ two dimension]

A point is just a tiny mark on Cartesian plane which has no length like a line , no width and area like a plane or no volume like a three dimensional shape . We can use only its location but cannot measure it.

Hence, it has no dimension.

Hence, the given statement "a point occupies zero dimensions" is a true statement.

Answer:true

Step-by-step explanation:

A student did a survey on how people feel when they are hungry. The results were that more people felt a stabbing pain than their stomach aching. 30 people said that their stomach ached when they were hungry. 49 people said they felt a stabbing pain. How many more people felt a stabbing pain than stomach aches?

Answers

it’s 19 :)

filler

:)

hi

Final answer:

The number of more people who felt a stabbing pain than a stomach ache when they are hungry is obtained by subtracting the number of people who felt a stomach ache from the number of people who felt a stabbing pain. The difference, which is 19, indicates that 19 more people felt a stabbing pain.

Explanation:

The subject of the question is simple subtraction in mathematics. In this scenario, find the difference between the number of people who felt a stabbing pain when they were hungry and the number who felt a stomach ache. The number of people who felt a stabbing pain is 49, and the number of people who felt a stomach ache is 30. So, to obtain the number of more people feeling stabbing pain than stomach ache: 49 (stabbing pain) - 30 (stomach ache) = 19. Thus, 19 more people felt a stabbing pain than a stomach ache when they were hungry.

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Find the area of a triangle

Answers

Answer:

  154 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (22) * 14

  154 cm^2

Answer:

A = 154 cm²

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

b - base

h - height

From the picture we have a base b = 22cm and a height h = 14cm.

Substitute:

[tex]A_\triangle=\dfrac{(22)(14)}{2}=(11)(14)=154\ cm^2[/tex]

PLZ HELP!!!!! Which of these quadrilaterals can always be classified as a rhombus? A) kite
B) rectangle
C) square
D) trapezoid

Answers

Answer:

A) Kite

A rhombus is a simply a diamond. Think about the visual properties of a diamond. Isn't a kite a diamond?

An angle, θ, is in standard position. The terminal side of the angle passes through the point (6, -5).

Find sinθ.


Answers

-5 square root of 51/51

Answer:

[tex]Sin\theta =\frac{-5}{\sqrt{61}}[/tex]

Step-by-step explanation:

(6, -5)

According to the diagram

[tex]OA^{2}=OB^{2}+AB^{2}[/tex]

[tex]OA^{2}=6^{2}+5^{2}=36+25=61[/tex]

[tex]OA=\sqrt{61}[/tex]

[tex]Sin\theta =\frac{AB}{OA}[/tex]

[tex]Sin\theta =\frac{-5}{\sqrt{61}}[/tex]

Choose one ?????? Help please

Answers

c. y = 6x is answer

C) y = 6x

y is always 6 times as much as x.

Please consider marking this answer as Brainliest to help me advance.

What type of graph would you use for a set of numerical data with a range of 90, from 5 to 95, where you wanted to find the typical data value?

Answers

Answer: A scatter plot

Answer:

stem-and-leaf plot

have a good day

Julia swam 3/4 of a mile in the pool.if each lap is 1/16 of a mile,how many laps did she swim.

Answers

The answer is twelve.

3/4 x 4 = 12/16

12/16 divided by 1/16 is 12z

The number of laps that she swam will be 12 laps.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Julia swam 3/4 of a mile in the pool. If each lap is 1/16 of a mile.

Then the number of laps that she swam will be given as,

⇒ (3/4) ÷ (1/16)

⇒ 3 x 16 / 4

⇒ 3 x 4

⇒ 12 laps

The number of laps that she swam will be 12 laps.

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if M = 1 over 6 find M(-1 over -2) fully reduced

Answers

Answer:

[tex]\large\boxed{M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{12}}[/tex]

Step-by-step explanation:

[tex]M=\dfrac{1}{6}\\\\\dfrac{-1}{-2}=\dfrac{1}{2}\qquad\qquad\bigg(\dfrac{negative}{negative}\to positive\bigg)\\\\M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{6}\left(\dfrac{1}{2}\right)=\dfrac{(1)(1)}{(6)(2)}=\dfrac{1}{12}[/tex]

Use a translator or whatever, just don't know how to do it. Will give most helpful answer brainliest, with an explanation and answer.​

Answers

the answer is -60. this is because the signs implemented in front of numbers give it a sort pattern .

when there are two additions the last number after the positive sign will give a positive number 1 greater than the initial number for example + 5 + 6. Answer afterward will be + 7 and for negative sign eg: - 7 - 8 in the question will give the answer -8 the same number after a negative (-) sign .
Hope this helps
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