Answer:
Hence, the distance between two walls is:
100 m.
Step-by-step explanation:
We are asked to find the distance between the two balls.
This could be done if we first find the distance between the first wall and the laser bean=d
and then the second wall and the laser bean=d'
and then add both the distances to find the total distance between the two walls i.e. (d+d')
As the triangle is right triangle so we will use the trignometric identity to find the distance.
The distance between the first wall and laser beam is:
[tex]\cos 60=\dfrac{d}{40}\\\\\dfrac{1}{2}=\dfrac{d}{40}\\\\d=\dfrac{40}{2}=20m[/tex]
similarly The distance between the second wall and laser beam is:
[tex]\tan45=\dfrac{80}{d'}\\\\1=\dfrac{80}{d'}\\\\d'=80m[/tex]
Hence, the distance between the two walls is:
[tex]d+d'=20+80=100[/tex]
Hence, the distance between two walls is:
100 m.