A 20 foot ladder is leaning against the outside of the house while a painter is painting. The ladder makes an angle of 72∘ with the ground. What is the distance between the foot of the ladder and the house? Round your answer to the nearest foot.

Respuesta :

Answer:19

Step-by-step explanation:

since the angle is 72° and the ladder is 20 foot, then our hypothenus side is 20foot and we are to find the opposite side of the triangle.

Sinθ = opp/ hyp

Sin72° = opp/20

cross multiply

Opp = 20 × sin 72°

= 20 × 0.951

=19.02

=19 to the nearest foot.