Exam Rehearsal

AKA

The End by flickr user damaradeaella

(3) If the dimensions of a photograph are tripled, by what factor does its area increase?

(4) On a map, a river is 92 cm long. The map has a scale of 1 : 50 000. What is the actual length of the river in kilometres?

(5) Participants in a race must kayak for 23 km, ride a bicycle for 42 miles and hike for 8750 metres. What is the total race distance in miles? kilometres? (1 mile = 1.6 km)

TRIGONOMETRY

From the top of a 100 m fire tower, a fire ranger observes two fires, one at an angle of depression of 5° and the other at an angle of depression of 2°. Assuming that the fires and the tower are in a straight line, determine the distance between the fires for the following:

(b) when the fires are on opposite sides of the tower.(a) when the fires are on the same side of the tower.

From the top of a 100 m fire tower, a fire ranger observes two fires, one at an angle of depression of 5° and the other at an angle of depression of 2°. Assuming that the fires and the tower are in a straight line, determine the distance between the fires for the following:(a) when the fires are on the same side of the tower.

(b) when the fires are on opposite sides of the tower.