Question

A local park is adding a new 14 ft long slide to the playground. The vertical height of the slide is h. The

Answer 1

A.
   h = 14 ft · sin 30° = 14 ft · 0.5 = 7 ft.
b.
   From the bottom of the height to the bottom of the slide:
   y² = 14² - 7² = 196 - 49 = 147
   y = √147 = 12.12 ft
   15 ft - 12.12 ft = 2.88 ft ( from the bottom of the stairs to the bottom of the height )
    tan x = 7 / 2.88 = 2.43
    ∠x = tan^(-1) 2.43
    ∠x = 67.63° ≈ 68°.