A vertical flag-pole stands on level ground

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Trigonometry · Applications of Trigonometry

Problem

A vertical flag-pole stands on level ground. From point

A

on the ground, the angle of elevation of the top of the pole satisfies

\tan \alpha = \dfrac{3}{4}.

A second point

B

lies on the same straight line toward the pole and is

20\,\text{m}

nearer to the pole than point

A

. From

B

, the angle of elevation of the top of the pole is

45^{\circ}.

Using this information, answer the following. (i) Calculate the height of the flag-pole and the distance of point

A

from the foot of the pole. (ii) Using your results from part (i), verify the given values of

\tan \alpha

and

\tan 45^{\circ}.