Answer:
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We know that the angle of elevation is 25° and the distance from the telescope to the base of the cliff is 134 m. Let's call the height of the cheetah h.
We can use the tangent function, which is opposite over adjacent, to set up an equation:
- tan(25°) = h/134 ⇒ h = 134 * tan(25°) ≈ 58.6 meters (use calculator)
Add the height of the telescope above the ground, which is 2.9 meters:
So, the cheetah is approximately 61.5 meters above the ground.