Question

I am cleaning the windows on my house? I place a 4.5m ladder against the side of my house to reach a window that is 4 m above the ground. What is the angle that the ladder makes with the ground? A. 37° B. 27° C.42° D.63°​

Answer 1

D

Explanation:

the ladder, the window and the ground form a right triangle

with the ladder being the hypotenuse and the window the opposite side to the angle between the ladder and the ground.

we can name the angle formed x

using the sine ratio in the right triangle.

sin x =
`(opposite)/(hypotenuse)` =
`(4)/(4.5)` , then

x =
`sin^(-1)` (
`(4)/(4.5)` ) ≈ 63° ( to the nearest degree )

the angle the ladder makes with the ground is 63°