Question

A local park is adding a new 14 ft long slide to the playground. The vertical height of the slide is h. The distance from the bottom of the stairs to the bottom of the slide needs to be 15 ft. Also, due to safety reasons, the slide must form a 30° angle with the ground, as shown below.
a. What is the height h of the slide? Round your answer to the nearest tenth.
b. To the nearest degree, what angle x will the stairs form with the ground?

Answer 1

Pls. see attachment for my answers.