# Worksheet: Right Triangle Trigonometry

In this worksheet, we will practice finding the value of a missing side length in a right triangle by choosing the appropriate trigonometric ratio for a given angle.

**Q6: **

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.

**Q7: **

Find the length of , given that , , and .

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

**Q8: **

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.

**Q9: **

is an isosceles triangle where , and . Find the length of giving the answer to one decimal place.

**Q10: **

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

**Q11: **

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

**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: **

A kite has a string of length 75 metres. 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.

**Q14: **

The angle of elevation between an aeroplane 10 000 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.

**Q15: **

is a triangle where , , and . Point lies on where . Find the height of the triangle drawn from point to giving the answer to two decimal places.

**Q16: **

is a rectangle where and . Find the lengths of and giving the answer to three decimal places.

- A ,
- B ,
- C ,
- D ,