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Worksheet: Law of Cosines

Q1:

In the given figure, using the law of cosines, find . Give your answer to two decimal places.

Q2:

In the given figure, find . Give your answer to two decimal places.

Q3:

In the given figure, find . Give your answer to two decimal places.

Q4:

In the given figure, using the law of cosines, find . Give your answer to two decimal places.

Q5:

In the given figure, find . Give your answer to two decimal places.

Q6:

In the given figure, find . Give your answer to two decimal places.

Q7:

, , and are three cities. Find the distance between cities and , giving your answer to the nearest kilometer.

  • A 21 km
  • B 23 km
  • C 12 km
  • D 16 km

Q8:

A plane travels 800 meters along the runway before taking off at an angle of . It travels a further meters at this angle as seen in the figure. Work out the distance of the plane from its starting point. Give your answer to 2 decimal places.

  • A meters
  • B meters
  • C meters
  • D meters
  • E 253.59 meters

Q9:

The shown diagram represents a satellite calculating the distances and the angle. Find the distance between the two cities. Give your answer to one decimal place. Note that the diagram is not to scale.