The angle of elevation from a viewer to the top of a flagpole is 50˚. The viewer is 40 ft away and the viewer’s eyes are 5.5 ft from the ground. How high is the pole to the nearest tenth of a foot?
Tan 50 degrees will represent the angle of elevation. Now, write the equation.
Hope this helped!
Tan 50 is not the angle of elevation, that's arctan of that ratio. Tangent is a ratio of sides, not the angle itself. The inverse sine (arcsin)is the angle itself given the sine for example. Consequently, the inverse tangent(arctan) is the angle itself given the tangent.
tan50 = opposite/adjacent opposite is height adjacent is 40 ft
= height / 40 when you figure out THIS height you must add the 5.5 ft observer's height
tan 50 = 1.191754