A spotlight is placed on the ground from a vertical wall

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A spotlight is placed on the ground

8\text{ m}

from a vertical wall. The light rotates at a constant angular speed of

0.20\text{ rad/s}

, illuminating a point

P

on the wall. When the beam makes an angle of

25^{\circ}

with the ground, what is the speed (in m/s) at which point

P

is moving up the wall? (a)

1.77

(b)

3.89

(c)

1.95

(d)

1.45