Answer:
The height of a water slide is approximately 13 meters.
Step-by-step 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,
[tex]\text{Tan}(\theta) = \frac{opposite}{adjacent} \\\\\text{Tan}(\theta) = \frac{h}{58} \\\\[/tex]
Where opposite is the unknown height of the slide, adjacent is distance from the base of slide and θ is the angel of elevation.
[tex]h = \text{Tan}(13)\times 58\\\\h = 0.2308\times 58\\\\h = 13.39 \: m\\\\or\\\\h = 13 \: m[/tex]
Therefore, the height of a water slide is approximately 13 meters.
