SOLUTION: If the height of a pole is 75.4 ft, find the distance from the foot of the pole an observer must stand so that the angle of elevation to the top of the pole is 41 degrees.

Question 1044495: If the height of a pole is 75.4 ft, find the distance from the foot of the pole an observer must stand so that the angle of elevation to the top of the pole is 41 degrees.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the height of a pole is 75.4 ft, find the distance from the foot of the pole an observer must stand so that the angle of elevation to the top of the pole is 41 degrees.
------
Sketch the picture.
You have a right triangle with height = 75.4 ft and base angle = 41 degrees.
Find the base using tangent = height/base
-----
base = height/(tan(41) = 75.4/tan(41) = 86.74 ft
----------------
Cheers,
Stan H.
RELATED QUESTIONS
A vertical pole on a 15° slope is braced by a wire from the top of the pole to a point... (answered by ikleyn)

the feet of two vertical poles of height 3m and 7m are in line with a point p on the... (answered by josgarithmetic)

A vertical pole AB is erected on a level ground. Emma 1.7m tall stand at C 24m away from... (answered by Cromlix)

This is a triganometry problem that deals with SOHCAHTOA To find the height of a pole, a (answered by Mathtut)

a wire is attached to the top of a pole. the wire is 1 ft longer than the pole, and the... (answered by ankor@dixie-net.com)

A wire is attached to the top of a pole. The wire is 2 ft longer than the pole, and the... (answered by math_helper,MathTherapy)

A 12-foot guy wire is attached to a telephone pole 10.5 ft from the top of the pole. If... (answered by Edwin McCravy)

The feet of two vertical poles of height 3m and 7m are in line with a point on the... (answered by solver91311)

A woman wans to measure the height of a nearby building. She places a 9 foot pole in the... (answered by jorel1380)