Find a side with the sine rule
11th grade (Year 12 in England) · 16 questions · Common Core: HSG.SRT.D.11 · England: GCSE Higher Geometry
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Score/ 16
Question 1
In triangle ABC, A = 68°, C = 72° and a = 6 cm. Find b to 1 decimal place.
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Question 2
Two surveyors stand at P and Q, 60 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 63° and angle PQR = 82°. How far is the tree from Q? Give 1 decimal place.
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Question 3
In triangle ABC, A = 62°, B = 56° and a = 20 cm. Find b to 1 decimal place.
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Question 4
In triangle ABC, A = 59°, C = 46° and a = 6 cm. Find b to 1 decimal place.
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Question 5
Two surveyors stand at P and Q, 180 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 74° and angle PQR = 41°. How far is the tree from Q? Give 1 decimal place.
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Question 6
In triangle ABC, A = 51°, B = 61° and a = 5 cm. Find b to 1 decimal place.
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Question 7
In triangle ABC, A = 52°, C = 83° and a = 12 cm. Find b to 1 decimal place.
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Question 8
Two surveyors stand at P and Q, 200 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 40° and angle PQR = 104°. How far is the tree from Q? Give 1 decimal place.
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Question 9
In triangle ABC, A = 77°, B = 38° and a = 15 cm. Find b to 1 decimal place.
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Question 10
In triangle ABC, A = 65°, C = 39° and a = 18 cm. Find b to 1 decimal place.
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Question 11
Two surveyors stand at P and Q, 110 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 54° and angle PQR = 49°. How far is the tree from Q? Give 1 decimal place.
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Question 12
In triangle ABC, A = 45°, B = 47° and a = 20 cm. Find b to 1 decimal place.
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Question 13
In triangle ABC, A = 39°, C = 106° and a = 10 cm. Find b to 1 decimal place.
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Question 14
Two surveyors stand at P and Q, 160 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 50° and angle PQR = 65°. How far is the tree from Q? Give 1 decimal place.
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Question 15
In triangle ABC, A = 64°, B = 65° and a = 13 cm. Find b to 1 decimal place.
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Question 16
In triangle ABC, A = 50°, C = 53° and a = 20 cm. Find b to 1 decimal place.
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