The height of the hawk flying over the tree is 462.14 feet
<h3>How to find the height of the hawk using angle of elevation?</h3>
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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