A wire is stretched from the top of a vertical pole standing on the level ground. The wire reaches to a point on the ground 10 feet from the foot of the pole and makes an angle of 75^o with the horizontal. Find the height of the pole and the length of the wire.

Solution:

\( \tan 75 = \frac{h}{10}\)

\( 10 \tan 75 =h \)

\( h = 37.32 feet \)