Mathematics

Problem

A spotlight located on the ground

10\text{ m}

from a vertical wall sweeps upward, creating a spot of light that moves on the wall. If the beam makes an angle

\theta

with the ground and is rotating at

0.10\text{ rad/s}

, how fast is the spot moving when it is

4\text{ m}

above the ground? a)

0.91\,\text{m/s}

0.40\,\text{m/s}

1.16\,\text{m/s}

1.08\,\text{m/s}