For each problem read the question at least twice before drawing a large clear diagram. Identify the right-angles triangle and do the trigonometry. Check that you have answered the
question Answer correct to the nearest whole number
-A rectangle is 100 metres long and 50 metres wide. Find the acute angle between the
diagonals.

-A marksman aims at a target bullseye 60 metres away but just before he pulls the trigger
he is distracted and swings the rifle and angle of a quarter of a degree. By how many
centimetres will the bullet miss the bullseye?

- A gable roof isosceles triangle-shaped) has a vertical height of 2.1 metres and the ceiling is
10.9 metres from one side to the other. Find the pitch (angle) of the roof.
- A searchlight shines on a flying saucer vertically above is. Another searchlight shines on
the saucer but it's beam makes an angle of 15 to the vertical The lights are 2 kilometers apart.
Find the altitude of the flying saucer, in metres.

-A line on a graph joins the origin to the point (6,15). What angle does the line make with
the axis.
-A regular octagon with sides of 10 metres fits exactly inside a circle. Find the radius of
the circle
-A child sits on a swing which is not moving. The rope is 400 centimetres long and the
child's seat is 50 centimetres above the ground. The child swings and at the extremity of her
movement the rope makes an angle of 41° with the vertical. How far above the ground is her
seat now