Question 576268
    To find the height of a flagpole, a surveyor moves 90 feet away from the base of the flagpole and then, with a transit 3 feet tall, measures the angle of elevation to the top of the flagpole to be 60°. What is the height of the flagpole? Round your answer to the nearest foot.
applying trig...
Let x = length of flag pole from the transit
then
tan(60) = x/90
90*tan(60) = x
155.88 = x
rounded
156 = x

.
Now, we must add the height of the transit:
156 + 3 = 159 feet