Question

An observer (O) is located 660 feet from a tree (T). The observer notices a hawk (H) flying at a 35° angle of elevation from his line of sight. How high is the hawk flying over the tree? You must show all work and calculations to receive full credit.

Answer 1

The height of the hawk flying over the tree is  462.14 feet

How to find the height of the hawk using angle of elevation?

The observer (O) is located 660 feet from a tree (T).

The observer notices a hawk (H) flying at a 35° angle of elevation from his line of sight.

The situation forms a right angle triangle.

Therefore, using trigonometric ratios,

tan ∅ = opposite / adjacent

where

• ∅ = angle of elevation
• opposite side = height of the hawk
• adjacent side = distance of the observer from the tree

Therefore,

tan 35 = h / 660

cross multiply

h = 660 tan 35

h = 660 × 0.70020753821

h = 462.136975218

h = 462.14 feet

Therefore, the height of the hawk flying over the tree is 462.14 feet.

learn more on angle of elevation here: brainly.com/question/6286482

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