KNOWLEDGE/UNDERSTANDING

(1). A tree that is 3 m tall casts a shadow that is 2 m long. At the same time, a nearby building casts a shadow that is 25 m long. How tall is the building? (3 Marks)

(2). Draw three different triangles. Only two of the triangles must be similar. (3 Marks)

(3).Which type(s) of triangles will always be similar: right, isosceles, or equilateral? (2 Marks)

(4).Miki is standing in a parking lot on a sunny day. He is 1.8 m tall and casts a shadow that is 5.4 m long.

a) Draw a scale diagram that can be used to measure the angle at which the Sun's rays hit the ground. (2 Marks)

b) Determine the length of the shadow cast by a nearby tree that is 12.2 m tall. (3 Marks)

(6). A telephone pole is supported by a guy wire which is anchored to the ground 3.00 m from the base of the pole. The guy wire makes a angle with the ground and is attached to the pole 7.46 m from the top. Another guy wire is attached to the top of the pole. This guy wire also makes an angle of with the ground 5.00 m from the base of the pole. Determine the height of the pole. (4 Marks)