Lesson Worksheet: The Cosine Ratio Mathematics
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 trapezoid 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:
is an isosceles triangle where and . Find the value of given lies on where .
- A
- B
- C
- D
- E
Q24:
A ladder is leaning against a vertical wall where the angle of inclination with the ground is . The lower end of the ladder moves metres away from the wall and the angle of inclination becomes . Find the length of the ladder giving the answer to one decimal place.
Q25:
Find given is an isosceles triangle where and . Give the answer to the nearest second.
- A
- B
- C
- D