Tom want to reach a second layer floor window on a house that is 20 feet above ground, if he must put the ladder at 70 degree angle to the ground, how long must the ladder be?

Respuesta :

It must be 21.3 feet.

The sides of the triangle given to us are the side opposite the angle to the ground, 20, and the missing side is the hypotenuse.  

opposite/hypotenuse is the ratio for sine:

sin 70 = 20/x

Multiply by x:
x sin 70 = 20

Divide both sides by sin 70:
(x sin 70)/(sin 70) = 20/(sin 70)
x = 21.283 ≈ 21.3