5. An airport radar spots a helicopter approaching the tower in a direct line. It is 17 km from the tower and 8 km ground distance away.
8. Sharon went to a level fi eld to fl y a kite. She let out all 685 metres of the string and tied it to a stake. She then walked 684 m away from the stake until she was directly under the kite. The kite is fl ying high with its string tight. How high was the kite above the ground?
Hint: Draw a sketch to represent the situation. 8 km
What is the altitude (height) of the helicopter at this point?
6. A slide in a children’s playground has dimensions as shown in the picture below.
For health and safety reasons, the height of the slide cannot exceed 1·5 metres.
Does the slide shown here meet health and safety requirements? Justify your answer.
9. Draw a sketch to represent each of the following and use it to answer the question asked.
(i) David leaves his house to walk to school. He walks 209 m west, and then turns and walks 120 m north. How far away, to the nearest metre, is he from his starting point?
(ii) The diagonal of a rectangle is 25 cm. The width is 15 cm. What is the length?
(iii) How far from the base of the house do you need to place a 15-metre ladder so that it exactly reaches the top of a 12-metre-tall wall?
10. An electrical wire is attached at points A and B on two vertical poles standing on horizontal ground.
A
2 m
10 m B 15 m
7. The rectangle PQRS represents the fl oor of a room.
P A 4 m S 13 m R
Ivor stands at point A. Calculate the distance between Ivor and:
(i) the corner R of the room (ii) the corner S of the room.
3 m Q 2 m
Point A is 10 metres above the ground on one post.
Point B is 2 metres above the ground on the other post.
The horizontal distance between the two posts is 15 metres.