Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the

Question

4 years ago

11

Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the

pool is 31.66°, and the slide is 46 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot. 22 feet 24 feet 39 feet 72 feet

Mathematics

1 answer:

Alexxandr [17] · Answer 1 · 2021-11-24T18:10:24+03:00

Answer:

71.60ft

Step-by-step explanation:

Hello,

The question above requires us to use find the relationship between the angle and the length of the slide.

To solve this question, it is pertinent to get the diagram correctly so as to get the answer right.

See attached document for better illustration.

From the diagram,

We have the value of the opposite side or the triangle, and the angle of depression.

Using SOHCAHTOA,

Tanθ = opposite / adjacent

θ = 31.66°

Opposite = 46ft

Adjacent = x

Tanθ = opp / adj

Tan31.66 = 46 / x

X = 46 / tan31.66

X = 46 / 0.6166

X = 71.60ft

The height of the slide is 71.60ft