Question

At what angle $\varphi$should the laser beam in FIGURE EX34.7 be aimed at the mirrored ceiling in order to hit the midpoint of the far wall?

Short answer

Angle aimed at the mirrored ceiling to the mid of the wall,$\varphi =42°$

Step-by-step solution

Laser

A laser beam is a single-wavelength stream of concentrated, coherent light.

Find the angle

$\frac{5-x}{3}=\frac{x}{1.5}\varphi ={\tan }^{-1}\left(\frac{1.5}{1.67}\right)$

$5-x=2x$

$5=3x$

$x=\frac{5}{3}$ $\varphi =42°$