Question

If the distance between the Man and a building is 500 meters and the height of the building is 10000 Meters, find the line of sight between the man and the tip of building if the angle of elavation is 85 degrees

Answer 1

The line of sight between the man and the tip of the building is approximately 18.43 times the distance between the man and the building.

Step-by-step explanation:

To find the line of sight between the man and the tip of the building, we can use the tangent function. The tangent of an angle is equal to the height of the building divided by the distance between the man and the building. In this case, the angle of elevation is 85 degrees, the height of the building is 10000 meters, and the distance between the man and the building is 500 meters.

Using the tangent function, we can calculate:

tan(85) = 10000 / 500

Simplifying, we find:

tan(85) ≈ 18.43

Therefore, the line of sight between the man and the tip of the building is approximately 18.43 times the distance between the man and the building.

Answer 2

Below

Step-by-step explanation:

This question appears to have the man at some height greater than the base of the building.....

500 is one leg of a right triangle

10 000 - m is the other leg (where m = man's height above ground level)

tan(85) = (10 000 - m) / 500

finds m = 4284.97

so the building height ABOVE the man's height is

10 000 - 4284.97 = 5715.026

This would be the second leg of the right triangle

using pythag theorem

500^2 + 5715.026^2 = L ^2 L = line of sight distance

L = 5736.9 M

Here is a shorter way:

tan 85 = opp / 500 shows opposite side leg = 5715.026

then pythag theorem shows L = 5736.9 as calculated above