The width () of a river can be calculated using two similar triangles, as shown in the diagram.
  

What is the approximate width of the river?

At a particular time during the day, a tower of height 19.2 metres casts a shadow. At the same time, a person who is 1.65 metres tall casts a shadow 5 metres long.

What is the length of the shadow cast by the tower at that time?  (2 marks)

A point lies between a tree, 2 metres high, and a tower, 8 metres high. is 3 metres away from the base of the tree.

From , the angles of elevation to the top of the tree and to the top of the tower are equal.
 

What is the distance, , from to the top of the tower?

1. 9 m
2. 9.61 m
3. 12.04 m
4. 14.42 m

Jacques and a flagpole both cast shadows on the ground. The difference between the lengths of their shadows is 3 metres.
 

What is the value of , the length of Jacques’ shadow?     (3 marks)