SOLUTION: Suppose you live about 5.1 miles from a tower. from your home you see a plane directly above the tower. your angle of elevation to the plane is 21 degrees. what is the planes altit

Algebra ->  Trigonometry-basics -> SOLUTION: Suppose you live about 5.1 miles from a tower. from your home you see a plane directly above the tower. your angle of elevation to the plane is 21 degrees. what is the planes altit      Log On


   



Question 450286: Suppose you live about 5.1 miles from a tower. from your home you see a plane directly above the tower. your angle of elevation to the plane is 21 degrees. what is the planes altitude?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose you live about 5.1 miles from a tower.
from your home you see a plane directly above the tower.
your angle of elevation to the plane is 21 degrees.
what is the planes altitude?
:
You can use the tangent of 21 degrees,
side opposite is the altitude in miles (a)
side adjacent is the dist to the tower (5.1 mi)
:
a%2F5.1 = tan(21)
a = tan(21) * 5.1
put this in a calc and you get
a = 1.9577 mi or 1.9577(5280) = 10,336.7 ft