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

Respuesta :

Answer:

24 feet

Step-by-step explanation:

Since we are given the length of the pool and the angle, we know the angle is the "angle of depression from the top of the slide to the pool", making it the lower angle (c). The hypotenuse is 46 feet.

[tex]sine = \frac{opposite}{hypotenuse}[/tex]

[tex]sin 31.66 = \frac{x}{46}[/tex]

sin(31.66) = 0.524877545

x = 0.524877545 • 46

x = 24.14436706

x = 24

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Answer:

The best and most correct of the options given is 24 feet.

Step-by-step explanation:

Therefore, the answer is option "B."