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From a hot-air balloon, Madison measures a 36^{\circ}
∘
angle of depression to a landmark that’s 785 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.

Respuesta :

abidemiokin

The balloon’s vertical distance above the ground is 570.3 feet

Angle of elevation and depression

Given the following parameters

The angle of depression = 36 degrees

Base distance =  785 feet

Required

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence  the balloon’s vertical distance above the ground is 570.3 feet

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

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