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