Answer:
B
Step-by-step explanation:
A right triangle is formed by the ground, the side of the house and the ladder.
The hypotenuse is the ladder
let the side of the house be h
Using the sine ratio in the right triangle formed, then
sin77° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{h}{22}[/tex] ( multiply both sides by 22 )
22 × sin77° = h , then
h ≈ 21.44 ( to the nearest hundredth )
The ladder reaches 21.44 ft up the side of the house