A slide at Ruston Way has a vertical height of 32 feet. The angle of elevation from the bottom of the slide to the top is 39 degrees. Find the length of the slide. Round your answer to the nearest tenth

length of slide = 39.5 (to the nearest tenth)

Step-by-step explanation:

The slide at Ruston way has a vertical height of 32 ft. The angle of elevation from the bottom of the slide tot he top is 39°, The length of the slide can be computed below.

The illustration above forms a right angle triangle. The opposite side of the triangle is 32 ft which is the vertical height of the slide. The adjacent side of the triangle is what we are ask to find which is the length of the slide. The angle of elevation is given as 39°.

Using tangential ratio

tan 39° = opposite/adjacent

tan 39° = 32/a

cross multiply

a tan 39° = 32

divide both sides by tan 39°

a = 32/tan 39°

a = 32/0.80978403319

a = 39.5167090094

a = 39.5

length of slide = 39.5 (to the nearest tenth)