From one point on the plain, they observe that the angle of elevation to the top of the mountain is

27

. From a point 1500 feet closer to the mountain along the plain, they find that the angle of elevation is
30

.
How high (in feet) is the mountain?

1 answer

Draw the diagram, then review your basic trig functions. You will see that the height h can be found using

h cot27° - h cot30° = 1500
so, h = 1500/(cot27° - cot30°)