Answers
If the angle of depression is 28° the complementary angle in the triangle is 62°. With this you can use soh-cah-toa to find the x value.
cos62 = 350/x; multiply both sides by x
cos62 x = 350; divide both sides by cos62
x = 350 / cos62
x = 745.519
x = 746 ft
Hope this helps you!
Related Questions
Find the measure of AED
Answers
Answer:
D) 155°
Step-by-step explanation:
The marked vertical angles are equal in measure, so ...
5x = 3x+10
2x = 10
x = 5
5x = 25 . . . . measure of angle AEB
Angle AED is the supplement of angle AEB, so is ...
180° -25° = 155°
What’s the value of y
Answers
Answer:
y = 60°
Step-by-step explanation:
The measure of angle y is half the measure of the subtended arc, so is ...
y = 120°/2 = 60°
You need 20 liters of 20% acid solution. You have jugs of 10% solution and 25% solution. How many liters of each should you combine to get the needed solution?
Answers
Answer:
6.(6) and 13.(3) liters.
Step-by-step explanation (this way is not the shortest one):
1. the basic rule is: the mas/volume of pure substance after and before combination is the same.
2. There is 4 liters of pure substance in 20*0.2 acid solution (20*0.2=4);
3. if 'x' is the volume of pure substance in 10%-solution; and if 'y' is the volume of pure substance in 20%-solution, then their sum of volumes is 4. It means, x+y=4 - this is the 1-st equation for system.
4. the volume of 10%-solution is x/0.1=10x; the volume of 20%-solution is y/0.25=4y; their sum is 20 litres. It means, 10x+4y=20 - this is the 2-d equation of the system.
5. to calculate the volumes of the pure substance:
[tex]\left \{ {{x+y=4} \atop {10x+4y=20}} \right. \ =>\ \left \{ {{x=\frac{2}{3} } \atop {y=\frac{10}{3} }} \right.[/tex]
6. to calculate the volume of 10%-solution: 2/3 *10=20/3≈6.(6) litres;
to calculate the volume of 25%-solution: 10/3 *4=40/3≈13.(3) litres.