Question

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?

Answer 1

Let x = length of flag pole from the transitthen
tan(60)=x/90

90*tan(60)=x
155.88=x
rounded
156 = x

Now, add the height of the transit:
156+3=159 feet
Answer-->159 feet