Question

a source of laser light sends rays ab and ac toward two opposite walls of a hall. the light rays strike the walls at points b and c, as shown below:a source of laser light is at point a on the ground between two parallel walls. the walls are perpendicular to the ground. ab is a ray of light which strikes the wall on the left at point b which is 30 meters above the ground. ac is a ray of light which strikes the wall on the right at point c. the length of ac is 80 meters. the ray ab makes an angle of 45 degrees with the ground. the ray ac makes an angle of 60 degrees with the ground.what is the distance between the walls?

Answer 1

Let  AM be the distance between point A and the right wall and AN be the distance between A and the left wall.
Δ AMB is an isosceles right triangle and  Δ ANC is half of an equilateral triangle.
Length of AM = 30 m. Length of AN = 1/2 · 80 = 40 m.
The distance between the walls is:
30 m + 40 m = 70 m.