Question

A 20-foot ladder leans against a wall so that the ladder’s angle of elevation is 46°. Find x, the distance from the base of the ladder to the building.(1 point)
Responses

x=14.39 ft.
x equals 14.39 ft.

x=43.23 ft.
x equals 43.23 ft.

x=13.89 ft.
x equals 13.89 ft.

x=28.79 ft.
x equals 28.79 ft.

Answer 1

Use the cosine: x = 20 cos(46°) ≈ 20(0.69466) ≈ 13.89 ft.

So x = 13.89 ft.