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=14.39 ft

x=28.79 ft.
x=28.79 ft.

x=13.89 ft
x=13.89 ft

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x=43.23 ft

Answer 1

Adjacent = hypotenuse · cos(angle), so x = 20 cos 46° = 20(0.694658...) ≈ 13.89 ft.

Answer: x = 13.89 ft.