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Lesson: The Cosine Ratio

Video

12:45

Sample Question Videos

Worksheet • 17 Questions • 5 Videos

Q1:

Find the length of 𝐴 𝐡 giving the answer to two decimal places.

Q2:

Find the length of 𝐴 𝐡 giving the answer to two decimal places.

Q3:

𝐴 𝐡 𝐢 is a right-angled triangle at 𝐡 where 𝐴 𝐡 = 2 6 c m and π‘š ∠ 𝐴 = 6 4 ∘ . Find the length of 𝐴 𝐢 giving the answer to two decimal places.

Q4:

𝐴 𝐡 𝐢 is a right-angled triangle at 𝐡 where 𝐴 𝐡 = 1 5 c m and π‘š ∠ 𝐴 = 6 4 ∘ . Find the length of 𝐴 𝐢 giving the answer to two decimal places.

Q5:

𝐴 𝐡 𝐢 𝐷 is a rectangle where the diagonal 𝐴 𝐢 = 4 c m and π‘š ∠ 𝐴 𝐢 𝐡 = 2 7 ∘ . Find the length of 𝐡 𝐢 giving the answer to two decimal places.

Q6:

𝐴 𝐡 𝐢 𝐷 is a rectangle where the diagonal 𝐴 𝐢 = 2 2 c m and π‘š ∠ 𝐴 𝐢 𝐡 = 7 5 ∘ . Find the length of 𝐡 𝐢 giving the answer to two decimal places.

Q7:

A swimming pool is in the shape of a trapezium. Find the length of one of the equal sides giving the answer to one decimal place.

Q8:

A swimming pool is in the shape of a trapezium. Find the length of one of the equal sides giving the answer to one decimal place.

Q9:

𝐴 𝐡 𝐢 is a triangle, where 𝐴 𝐡 = 𝐴 𝐢 , 𝐡 𝐢 = 3 4 c m , and π‘š ∠ 𝐡 = 4 9 1 3 β€² 2 9 β€² β€² ∘ . Find the length of 𝐴 𝐡 , giving your answer to the nearest centimetre.

Q10:

In the given figure, π‘š ∠ 𝐡 𝐴 𝐢 = 9 0 ∘ and 𝐴 𝐷 βŸ‚ 𝐡 𝐢 . What is 𝐡 𝐢 πœƒ c o s ?

  • A 𝐴 𝐢
  • B 𝐷 𝐡
  • C 𝐴 𝐡
  • D 𝐡 𝐢
  • E 𝐴 𝐷

Q11:

Find the radius of circle 𝑀 given 𝐴 𝐢 = 1 4 c m and π‘š ∠ 𝐴 = 5 0 ∘ . Give the answer to two decimal places.

Q12:

Find the radius of circle 𝑀 given 𝐴 𝐢 = 7 c m and π‘š ∠ 𝐴 = 2 8 ∘ . Give the answer to two decimal places.

Q13:

In the given figure, find the length of 𝐴 𝐢 to two decimal places.

Q14:

𝐴 𝐡 𝐢 is an isosceles triangle where 𝐴 𝐡 = 𝐴 𝐢 = 1 0 c m and π‘š ∠ 𝐢 = 5 2 2 0 β€² 2 1 β€² β€² ∘ . Find the length of 𝐡 𝐢 giving the answer to one decimal place.

Q15:

For the figure given, find π‘₯ to two decimal places.

Q16:

Find π‘₯ . Give your answer to two decimal places.

Q17:

𝐴 𝐡 𝐢 is an isosceles triangle where 𝐴 𝐡 = 𝐴 𝐢 = 5 . 8 c m and π‘š ∠ 𝐡 = 4 8 8 β€² 3 2 β€² β€² ∘ . Find the length of 𝐡 𝐢 giving the answer to one decimal place.

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