You are sitting at the edge of the grand canyon admiring the view when you notice a tour group at the bottom of the canyon. you estimate that the angle of depression from your spot on the edge to the group is 39°. the sign that says that the bottom of the canyon is 5000 ft below the rim: what is your line of sight distance?

7949.13 feet

Step-by-step explanation:

We are given that,

Angle of depression from the spot to the group = 39°

Height of Grand Canyon = 5000 feet.

So, we will get the following figure of a right triangle.

As, 'in a right triangle, the angles and the sides can be written in trigonometric form'.

We get,

i.e.

i.e.

i.e.

i.e. x = 7949.13 feet

Thus, the line of sight distance is 7949.13 feet.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.