A person stands 35.0 m from a flag pole. With a protractor at eye level, he finds that the angle at the top of the flag pole makes with the horizontal is 25.0 degrees. Approximately how high is the flag pole? (The distance from his feet to his eyes is 1.7 m.)
A)10 m
B)20 m
C)30 m
D)50 m
E)80 m

Question

Quizplus · Accepted Answer

To find the height of the flagpole, use the tangent of the angle: tan(25°) = (height of flagpole - 1.7 m) / 35 m. Solving for the height gives approximately 16.3 m. Adding the 1.7 m from his feet to his eyes gives a total height of approximately 18 m, closest to 20 m.

A Person Stands 35