Question

You are measuring the height of a water slide. You stand 58 meters fro. The base of the slide.You measure the angle of elevation from the ground to the top of the water slide to be 13. Find the height h of the slide to the nearest meter.

Answer 1

The height of a water slide is approximately 13 meters.

Explanation:

We are given the distance from the base of slide that is 58 meters.

The angle of elevation from the ground to the top of the water slide is 13°

We are required to find the height of a water slide.

Refer to the attached diagram where a triangle has been constructed with respect to the given information.

Recall from the trigonometric Identities,

`\text{Tan}(\theta) = (opposite)/(adjacent) \\\\\text{Tan}(\theta) = (h)/(58) \\\\`

Where opposite is the unknown height of the slide, adjacent is distance from the base of slide and θ is the angel of elevation.

`h = \text{Tan}(13)* 58\\\\h = 0.2308* 58\\\\h = 13.39 \: m\\\\or\\\\h = 13 \: m`

Therefore, the height of a water slide is approximately 13 meters.