A 20-foot ladder leans against a wall so that the ladder's angle of elevation is $46^\circ$. Find $x$, the dis

Question

A 20-foot ladder leans against a wall so that the ladder's angle of elevation is $46^\circ$. Find $x$, the distance from the base of the ladder to the building.Answers$x = 28.79 	ext{ ft.}$$x = 13.89 	ext{ ft.}$$x = 14.39 	ext{ ft.}$$x = 43.23 	ext{ ft.}$

GPT-5 mini · Answer

Use the cosine (adjacent = hypotenuse·cosθ).  
x = 20·cos(46°) ≈ 20·0.694658 = 13.89 ft.

So x = 13.89 ft.

A 20-foot ladder leans against a wall so that the ladder's angle of elevation is $46^\circ$. Find $x$, the distance from the base of the ladder to the building.Answers$x = 28.79 \text{ ft.}$$x = 13.89 \text{ ft.}$$x = 14.39 \text{ ft.}$$x = 43.23 \text{ ft.}$

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