A man whose eye is 120 m above the ground is standing 8 m from a 7 m tall.What is the angle of elevation of the top of the tree from its eye?

Answer 1

To find the angle of elevation, we can use the tangent function.

First, find the difference in height between the man's eye and the top of the tree:

120 m - 7 m = <<120-7=113>>113 m

Next, use the tangent function. Let θ be the angle of elevation:

tan(θ) = (opposite side) / (adjacent side) = 113 m / 8 m

Now, find the angle by taking the arctangent of both sides:

θ = arctan(113 m / 8 m)

θ ≈ 85.4°

So, the angle of elevation of the top of the tree from the man's eye is approximately 85.4 degrees.