The shadow of a vertical tower is 40.6m long when the angle of elevation of the sun is 35 degrees find the height of the tower Search instead for the shadow of a vertical tower is 40.6m long when the angle of elevation of the sun is 35 degrees find the hight of the tower

Height of tower = 28.42m

Step-by-step explanation:

Looking at the question, this will form a triangle.

The height of the tower is vertical while the length of the shadow will be the horizontal part of the triangle.

Now, the question says that the angle of elevation of the sun is 35°.

Now, therefore, this angle is the angle between the shadow and the sun's light. Thus, we can say the suns light is the third part of the triangle which is the hypotenuse.

Now, we want to find the height of the tower which is the vertical side of the triangle.

Now, In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

For this problem, the opposite side to the angle is the height of the tower while the adjacent side is the length of the shadow.

Let's call the height of the tower "x" while the length of the shadow will be called "y"

Thus;

tan 35 = x/y

And x = y tan 35

y is 40.6m from the question.

Thus,

x = 40.6 tan 35 = 40.6 x 0.7 = 28.42m