Two vertical poles of equal height stand on opposite banks of a river

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

Problem

Two vertical poles of equal height stand on opposite banks of a river. From a point on the river bank,

20\,\text{m}

from the foot of the nearer pole, the angles of elevation of the tops of the nearer and the farther poles are

60^\circ

and

30^\circ

respectively. Find: (a) the width of the river (b) the height of each pole