As shown below and observer is located 500 feet from a school the observer notices a bird flying at 39° angle of elevation from his line of sight what equation in trigonometry function can be used to solve for the height of the bird what is the height of the bird you must show all work and calculations to receive

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