4. The boom of a crane can be moved so that its angle of inclination changes. In one location, close to some

buildings and some overhead power cables, the minimum value of the angle of inclination is 30°, and the maximum

value is 60°. If the boom is 10 m long, find the vertical displacement of the end of the boom when the angle of

inclination increases from its minimum value to its maximum value.

a) Express your answer in EXACT form using your special triangles. Show all work to receive process marks. Ⓒ

b) Express your answer in approximate form, to the nearest tenth of a metre.

УА

10 m

60°

30°

vertical

displacement

Уг

10 m

x