A 24-foot ladder rests against a house near a second story window 20 feet from the ground. Assuming that the ground is level can you guys help me find
A. The measure of the angle formed by the base of the ladder and level ground
B. The measure of the angle formed by the top of the ladder and the second story window
C. The distance, on level ground, between the base of the ladder and the house

Question

A 24-foot ladder rests against a house near a second story window 20 feet from the ground. Assuming that the ground is level can you guys help me find 
A. The measure of the angle formed by the base of the ladder and level ground 
B. The measure of the angle formed by the top of the ladder and the second story window
C. The distance, on level ground, between the base of the ladder and the house

jhonyy9 · Answer

first of all you need make a drawn about this ....

MagnusMentula · Answer

SOHCAHTOA
Sine - Opposite/Hypotenuse, which is needed to solve for A. 
Plug in arcsin(20/24)  (arcsin is often visualized/denoted as sin^-1).
That's your A answer.
Cosine - Adjacent/Hypotenuse
Plug in arccos(20/24)  (arccos is often visualized/denoted as cos^-1).
That's your B answer.
Use b = sqrt(c2﹣a2)
(I recommend https://www.desmos.com/calculator, make sure to set it to degrees rather than radians).

A = 56.4426902381
B = 	33.5573097619
C = 13.27