# Worksheet: The Cosine Ratio

In this worksheet, we will practice finding missing lengths and angles in a triangle using the cosine ratios.

**Q8: **

is a triangle, where , , and . Find the length of , giving your answer to the nearest centimeter.

**Q18: **

is an isosceles trapezium where and . Find and giving the answer to the nearest second.

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

**Q21: **

In the given figure, the two triangles are similar.

Work out the value of for . Give your answer as a fraction in its simplest form.

- A
- B
- C
- D
- E

Work out the value of for . Give your answer as a fraction in its simplest form.

- A
- B
- C
- D
- E

What can be said about the value of for two similar triangles?

- AThey are often equal.
- BThey are always equal.
- CThere is no relation.

**Q22: **

Find the value of .

**Q23: **

A 20-feet ladder leans against the side of the building such that the bottom of the ladder is 4 feet from the bottom of the building. Health and safety specifications require the measure of the angle between the ladder and the ground to be between and . Does the ladder satisfy those specifications?

- Ano
- Byes

**Q24: **

is an isosceles triangle where and . Find the value of given lies on where .

- A
- B
- C
- D
- E