**Q8: **

Find the length of given is a right triangle at where and .

- A 26 cm
- B 10 cm
- C 162 cm
- D 32 cm
- E 31 cm

**Q9: **

A kite, which is at a perpendicular height of 44 m, is attached to a string inclined at to the horizontal. Find the length of the string accurate to one decimal place.

**Q10: **

A kite, which is at a perpendicular height of 51 m, is attached to a string inclined at to the horizontal. Find the length of the string accurate to one decimal place.

**Q11: **

A kite, which is at a perpendicular height of 48 m, is attached to a string inclined at to the horizontal. Find the length of the string accurate to one decimal place.

**Q12: **

A builder leans a 6-foot plank of wood against a vertical wall. If one end of the plank is 1.5 feet from the bottom of the wall, what is the angle between the plank and the wall?

**Q13: **

The angle of elevation between an aeroplane 10β000 m high and a person on a point on the ground is . Find the distance between the point and the aeroplane giving the answer to the nearest metre.

**Q14: **

A kite has a string of length 75 meters. The angle the string makes with the horizontal ground is . Find the height of the kite from the ground giving the answer to two decimal places.

**Q15: **

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

**Q16: **

Find the length of , given that , , and .

- A cm
- B cm
- C cm
- D cm
- E cm

**Q17: **

A person observes a point on the ground from the top of a hill that is 1.56 km high. The angle of depression is . Find the distance between the point and the observer giving the answer to the nearest metre.