Jaime is trying to decide if he is going to ride a slide at the water park. The slide is 300 feet tall and the distance between the base of the water slide and the bottom of the stairs is 200 feet. What is the angle of elevation of the slide? Round to the nearest degree.

Step-by-step explanation:

Given the height of the slide = 300fet

The distance between the base of the water slide and the bottom of the stairs = 200 feet

Note that the angle of elevation will be facing the height directly and the set up will be a right angle triangle. Using SOH, CAH TOA to solve for the angle of elevation needed, we will have:

Opposite side  300feet

Adjacent side = 200feet

According to TOA:

tan theta = opposite/adjacent

tan theta = 300/200

tan theta = 3/2

theta = tan⁻¹(3/2)

theta = tan⁻¹(1.5)

theta = 56.3⁰

Hence the angle of elevation of the slide to the nearest degree is 56⁰

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