5. Tim and Sara are on the opposite sides on the outside of a building that is 180 metres in height. They measure the angle of elevation of the top of the tower as 42° and 58° respectively. Find the distance, to the nearest metre, between Tim and Sara.
T 42° ?
180 m 58° S
6. From a plane flying due west at 365 m above sea level, the angles of depression to two ships sailing on the sea below measure 34° and 24° respectively.
How far apart are the ships, to the nearest metre?
34° 365 m
24°
7. A ski lift connects B to T passing through M on its way. The lift travels 45 m from B toM at an angle of 54° off the vertical and a further 22 m from M to T at an angle of 72° off the vertical.
(i) How far does the ski lift rise vertically going from B toM? (ii) Calculate the horizontal distance between M and T. (iii) How much higher is T than B?
Give your answers correct to the nearest metre. B 45 m 54°
T 72° M 22 m
Now that you have completed the unit, revisit the
Something to think about …
556 question posed at the start of this unit.
Now try questions 4, 5, 7, 11 and 12 on pages 559–61