Question 10
A straight waterslide is 215 feet above ground and is 260 feet long. What is the angle of
elevation the bottom of the slide makes with the ground? (See Day 7 notes.)
(Round answer to the nearest tenth.)

Question

UpStudy AI · Accepted Answer

1. The slide, the vertical drop, and the horizontal distance form a right triangle. The vertical side is $$215$$ feet and the hypotenuse (the slide) is $$260$$ feet.

2. First, compute the horizontal distance $$x$$ using the Pythagorean theorem:
   $$
   x = \sqrt{260^2 - 215^2}
   $$
   $$
   x = \sqrt{67600 - 46225} = \sqrt{21375}
   $$
   $$
   x \approx 146.2 \text{ feet}
   $$

3. The angle of elevation $$\theta$$ between the slide and the ground is given by:
   $$
   \theta = \arctan\left(\frac{215}{x}\right)
   $$
   Substitute $$x \approx 146.2$$:
   $$
   \theta = \arctan\left(\frac{215}{146.2}\right)
   $$
   $$
   \theta \approx \arctan(1.47)
   $$
   $$
   \theta \approx 56.4^\circ
   $$

4. Therefore, the angle of elevation the bottom of the slide makes with the ground is approximately $$56.4^\circ$$.
The angle of elevation is approximately 56.4 degrees.

Question 10
A straight waterslide is 215 feet above ground and is 260 feet long. What is the angle of
elevation the bottom of the slide makes with the ground? (See Day 7 notes.)
(Round answer to the nearest tenth.)

Upstudy AI Solution

Answer

Solution

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Question 10 A straight waterslide is 215 feet above ground and is 260 feet long. What is the angle of elevation the bottom of the slide makes with the ground? (See Day 7 notes.) (Round answer to the nearest tenth.)

Upstudy AI Solution

Answer

Solution

The Deep Dive

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Question 10
A straight waterslide is 215 feet above ground and is 260 feet long. What is the angle of
elevation the bottom of the slide makes with the ground? (See Day 7 notes.)
(Round answer to the nearest tenth.)