Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

The diagram represents the slide as the hypotenuse of a right triangle. The slide is labeled 4.1 meters. The vertical height is labeled x. The angle adjacent to the horizontal leg and hypotenuse is 35 degrees.

A slide 4.1 meters long makes an angle of 35°
with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

(2 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height (x) of the slide above the ground, we can use the trigonometric ratio of sine, since we have the opposite side (x) and the hypotenuse (4.1 meters) given.

sin(35°) = x / 4.1
x = 4.1 * sin(35°)
x = 4.1 * 0.5736
x ≈ 2.353 meters

Therefore, the top of the slide is approximately 2.4 meters above the ground.