**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.

- A12 km
- B16 km
- C21 km
- D23 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.

- A253.59 meters
- B meters
- C meters
- D meters
- E 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.

**Q10: **

A surveyor takes measurements as shown in the diagram. Calculate the distance across the lake. Give your answer to one decimal place.