(1). A trained stunt diver is diving off a platform that is 15 m high into a pool of water that is 45 cm deep. The height, h, in metres, of the stunt diver above the water is modelled by h = - 4.9t² + 1.2t + 15 , where t is the time in seconds after starting the dive.

a) How long is the stunt diver above 15 m? (

b) How long is the stunt diver in the air?

(2). A square lawn is surrounded by a concrete walkway that is 2.0 m wide. If the area of the walkway equals the area of the lawn, what are the dimensions of the lawn? Express the dimensions to the nearest tenth of a metre.

(3). Draw two different right triangles for which tan = 1 . Determine the measurements of all the sides and angles. Then compare the two triangles.

COMMUNICATION

(1). If two isosceles triangles have one pair of equal angles, are they similar? Explain.

(2). A 3.6 m ladder is leaning against a wall, with its base 2 m from the wall.

a) Draw a scale diagram to represent this situation.

b) Suppose that a 2.4 m ladder is placed against the wall, parallel to the longer ladder. Explain why the triangles that are formed by the ground, the wall, and the two ladders are similar.

c) How far up the wall will each ladder reach?