Question

The angle of elevation to the top of a television Tower is 45° from each of the two points on the ground level with its Base. The points are 60 cm apart and one is due south and other due east of the Tower. What is the high of the Tower?

Answer 1

Let the height of the tower be h cm.

From the information given, we can form a right triangle with the height of the tower as the opposite side, the distance between the two points on the ground as the adjacent side, and the angle of elevation as 45°.

Using trigonometry, we can use the tangent function:
tan(45°) = h / 60
1 = h / 60
h = 60 cm

Therefore, the height of the tower is 60 cm.