Question

Suppose you live 6.2 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the plane is 23°. What is the plane’s altitude?

2.6 miles

9.8 miles

2.4 miles

.7 miles

Answer 1

Assume, there is a Triangle, where perpendicular is plane's altitude and distance from your house to hill is base.

Now, We know, Tan Ф = P / B
Tan 23 = P / 6.2
P = Tan 23 * 6.2
P = 1.59 * 6.2 [ As Tan 23 = 1.59 ]
P = 9.85 miles

In short, Your Answer would be Option B

Hope this helps!