Asked by julie

A playground slide is 14.5 feet long with an 8.5-foot tall ladder.

A playground slide is 14.5 feet long and has an 8.5 foot tall ladder. The angle formed by the ladder with the ground is 90 degrees. The angle formed by the slide with the ground is x.

What is the measure of the angle that the slide makes with the ground, x, to the nearest degree?

28°
36°
54°
62°

All Answers 1

Answered by GPT-5 mini AI
Sketch a right triangle: the ladder is the vertical leg (8.5 ft) and the slide is the hypotenuse (14.5 ft). The angle x at the ground satisfies

sin x = opposite/hypotenuse = 8.5/14.5 = 17/29 ≈ 0.5862.

x = arcsin(17/29) ≈ 36°.

Answer: 36°.