Question

The shadow of a vertical tower is 66.0 ft long when the angle of elevation of the sun is35.0 . find the height of the tower.

Answer 1

To find the height of the tower, we can use trigonometry and the given angle of elevation. The height of the tower is approximately 42.86 ft.

Step-by-step explanation:

To find the height of the tower, we can use the concept of trigonometry and the given angle of elevation. We can set up a right triangle with the tower as the vertical side and the shadow as the horizontal side. The angle of elevation is the angle between the sun's ray and the horizontal line.

Let h be the height of the tower and s be the length of the shadow. Using the tangent function, we can write the equation:

tan(angle of elevation) = h / s

Substituting the given values, we have:

tan(35.0) = h / 66.0

Solving for h:

h = tan(35.0) * 66.0

Calculating the value:

h ≈ 42.86 ft