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height of the bird = 404.89 ft

Step-by-step explanation:

The illustration forms a right angle triangle. The bird is 500 ft from the observer which is the same number of distance from the observer to the school .  The adjacent side of the triangle formed is 500 ft . The height of the bird is the opposite side of the triangle.  The angle of elevation formed from the observer is 39°.

Using the tangential ratio

tan 39° = opposite/adjacent

opposite side = ?

adjacent side = 500 ft

tan 39° = a/500

cross multiply

a = 500 tan 39°

a = 500 × 0.80978403319

a = 404.892016598

a = 404.89 ft

height of the bird = 404.89 ft