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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. The length of AB is 40m. AC is a ray of light which strikes the wall on the right at point C which is 80 m above the ground. The ray AB makes an angle of 60 degrees with the ground. The ray AC makes an angle of 45 degrees with the ground.

What is the distance between the walls?

Respuesta :

jbob93626

The distance between the walls is: 76.56854249

Cos(60)=A/40

Cos(45)=A/80

20+56.56854249

SmartStudent3245

Answer:

Answer: 70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

Both triangles are right triangles. Therefore, you can calculate the distance  between the walls as following:

- Calculate the distance AD:

- Calculate the distance AE:

Therefore the distance between the walls is:

Step-by-step explanation:

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