Trig in shapes

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1

Two friends sail their boats from the port

Barry sailed 2.7km on a bearing of 065.

Garry sailed 3.2km on a bearing of 125.

How far apart are they?

4 Marks

Show Answer

2.981610 km

5 Marks

2

A laser weapon is being tested on a wall

Shot A is fired at an angle of 48.

Shot B is fired at an angle of 67.

Shot B hits the wall 18m higher as shown.

Calculate the distance, d between the weapon and wall.

5 Marks

Show Answer

14.45m

3

Triangle JKL is shown

Calculate the size of angle LJK

3 Marks

Show Answer

55.789 degrees

4

Calculate the area of this triangle

3 Marks

Show Answer

75m2

5

In triangle PQR

Show that cos Q = 5/7

3 Marks

Show Answer

314m³