A man 1.5 meter tall is 15 meters away from a tower of 20 meters high.what is the angle of elevation from the top of the tower from his eyes
To find the angle of elevation, we can use trigonometry. The angle of elevation is the angle between the horizontal line of sight and the line of sight from the observer's eyes to the top of the tower.
Let's consider the right triangle formed by the man, the tower, and the line connecting the man's eyes to the top of the tower.
The height of the tower is the opposite side of the triangle, which is 20 meters.
The distance between the man and the tower is the adjacent side of the triangle, which is 15 meters.
The man's line of sight to the top of the tower is the hypotenuse of the triangle.
Using the tangent function (tan θ = opposite/adjacent), the angle of elevation (θ) is given by:
θ = tan^(-1)(20/15) ≈ 53.13 degrees.
Therefore, the angle of elevation from the man's eyes to the top of the tower is approximately 53.13 degrees.