Question 1

Example 4.20. The angle of elevation of the top of a broadcasting tower is 50° from the point A and 60° from the point B.

It is given that the points are 120 metres apart and that A is due north of the tower, and B is due east of the tower. Let O be

the base of the tower.

a) Draw a diagram to illustrate this information.

b) By letting the height of the tower beh, show that:

i) OA = h cot 50°

ii) OB = h cot 60°

c) Hence find the height of the broadcasting tower correct to two decimal places.