Question

The drawing shows a laser beam shining on a plane mirror that is perpendicular to the floor. The angle of incidence is 33.0°. The beam emerges from the laser at a point that is 1.10 m from the mirror and 1.80 m above the floor. After reflection, how far from the base of the mirror does the beam strike the floor?

Answer 1

x= 2.7734 m

Step-by-step explanation:

Given the angle of incidence θ= 33.0°

distance from laser point and mirror = 1.10 m

laser point is 1.80 m above the floor

let the distance between mirror base and laser beam striking the floor after reflection = x

figure has been attached and from the from the figure we can write

`tan\theta= (1.80)/(x)`

`tan33\degree= (1.80)/(x)`

`tan33\degree= 0.649`

putting value and solving we get

x= 2.7734 m