Question

URGENT!! From a point on the ground, a person notices that a 127-foot antenna on the top of a hill subtends an angle of 1.5∘. If the angle of elevation to the bottom of the antenna is 25∘, find the height of the hill.

Answer 1

Explanation:

To find the height of the hill, we can use the tangent function. Let h be the height of the hill and x be the distance from the person to the base of the hill. We know that:

tan 1.5° = 127 / x

and

tan 25° = h / x

We can use the first equation to find x:

x = 127 / tan 1.5°

And then substitute x into the second equation to find h:

h = x * tan 25° = (127 / tan 1.5°) * tan 25°

This gives us the height of the hill. You can use a calculator to find the value of h.