Find a side with the cosine rule

Question 1

Felix and Sofia cycle away from the same café along two straight paths with an angle of 141° between them. Felix rides 30 km and Sofia rides 18 km. How far apart are they? Give 1 decimal place.

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Question 2

In triangle ABC, b = 16 cm, c = 8 cm and A = 61°. Find a to 1 decimal place.

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Question 3

Arjun and Ethan cycle away from the same café along two straight paths with an angle of 122° between them. Arjun rides 7 km and Ethan rides 24 km. How far apart are they? Give 1 decimal place.

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Question 4

In triangle ABC, b = 8 cm, c = 18 cm and A = 90°. Find a to 1 decimal place.

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Question 5

Grace and Kofi cycle away from the same café along two straight paths with an angle of 106° between them. Grace rides 25 km and Kofi rides 27 km. How far apart are they? Give 1 decimal place.

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Question 6

In triangle ABC, b = 10 cm, c = 6 cm and A = 85°. Find a to 1 decimal place.

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Question 7

Tariq and Sam cycle away from the same café along two straight paths with an angle of 76° between them. Tariq rides 28 km and Sam rides 28 km. How far apart are they? Give 1 decimal place.

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Question 8

In triangle ABC, b = 16 cm, c = 14 cm and A = 43°. Find a to 1 decimal place.

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Question 9

Luis and Ben cycle away from the same café along two straight paths with an angle of 87° between them. Luis rides 15 km and Ben rides 20 km. How far apart are they? Give 1 decimal place.

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Question 10

In triangle ABC, b = 20 cm, c = 11 cm and A = 119°. Find a to 1 decimal place.

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Question 11

Felix and Tariq cycle away from the same café along two straight paths with an angle of 33° between them. Felix rides 16 km and Tariq rides 20 km. How far apart are they? Give 1 decimal place.

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Question 12

In triangle ABC, b = 12 cm, c = 13 cm and A = 62°. Find a to 1 decimal place.

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Question 13

Ines and Zoe cycle away from the same café along two straight paths with an angle of 77° between them. Ines rides 7 km and Zoe rides 29 km. How far apart are they? Give 1 decimal place.

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Question 14

In triangle ABC, b = 17 cm, c = 20 cm and A = 52°. Find a to 1 decimal place.

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Question 15

Arjun and Zara cycle away from the same café along two straight paths with an angle of 88° between them. Arjun rides 25 km and Zara rides 22 km. How far apart are they? Give 1 decimal place.

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Question 16

In triangle ABC, b = 8 cm, c = 9 cm and A = 21°. Find a to 1 decimal place.

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