Forty feet away for the auditorium, the angle of elevation to the top of the auditorium is 21 degrees. Calculate the height of the auditorium from the given information.

Question

Please include a sketch if possible!!

Answer 1

Draw a right triangle with a base of 40 and a height of h. The right angle is formed by the height and the 40 foot side. The angle between the hypotenuse and the 40 foot side is 21°.

Let h = the height of the auditorium

tan 21 = h/40

.38386 = h/40

15.35 feet = h