Question

A woman standing at point A
A
looks up at the top of a building and finds the angle of elevation is 33∘
33
∘
. She walks 499 feet away from the building to point D
D
and finds the angle of elevation to the top of the building is now 19∘
19
∘
. What is the height of the building h
h
.
Round to the nearest tenth of a foot.

Answer 1

can't say I care much for your text formatting and repeated numbers.
But, if you draw a diagram, and review the basic trig functions, you can see that
h cot19° - h cot33° = 499
Now just solve for h.

extra credit: how far is point A from the building?