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
Name
Date
Score/ 16
Question 1
In triangle ABC, A = 34°, B = 53° and a = 7 cm. Find b to 1 decimal place.
Answer
Question 2
In triangle ABC, A = 74°, C = 47° and a = 13 cm. Find b to 1 decimal place.
Answer
Question 3
Two surveyors stand at P and Q, 100 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 57° and angle PQR = 53°. How far is the tree from Q? Give 1 decimal place.
Answer
Question 4
In triangle ABC, A = 73°, B = 72° and a = 18 cm. Find b to 1 decimal place.
Answer
Question 5
In triangle ABC, A = 46°, C = 56° and a = 15 cm. Find b to 1 decimal place.
Answer
Question 6
Two surveyors stand at P and Q, 50 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 63° and angle PQR = 74°. How far is the tree from Q? Give 1 decimal place.
Answer
Question 7
In triangle ABC, A = 60°, B = 65° and a = 11 cm. Find b to 1 decimal place.
Answer
Question 8
In triangle ABC, A = 52°, C = 72° and a = 10 cm. Find b to 1 decimal place.
Answer
Question 9
Two surveyors stand at P and Q, 50 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 72° and angle PQR = 42°. How far is the tree from Q? Give 1 decimal place.
Answer
Question 10
In triangle ABC, A = 33°, B = 62° and a = 12 cm. Find b to 1 decimal place.
Answer
Question 11
In triangle ABC, A = 55°, C = 73° and a = 13 cm. Find b to 1 decimal place.
Answer
Question 12
Two surveyors stand at P and Q, 170 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 34° and angle PQR = 77°. How far is the tree from Q? Give 1 decimal place.
Answer
Question 13
In triangle ABC, A = 41°, B = 63° and a = 6 cm. Find b to 1 decimal place.
Answer
Question 14
In triangle ABC, A = 69°, C = 58° and a = 15 cm. Find b to 1 decimal place.
Answer
Question 15
Two surveyors stand at P and Q, 140 m apart on one bank of a river. A tree R is on the other bank. Angle RPQ = 76° and angle PQR = 64°. How far is the tree from Q? Give 1 decimal place.
Answer
Question 16
In triangle ABC, A = 35°, B = 62° and a = 10 cm. Find b to 1 decimal place.
Answer
Write your answers right on the page. · Free from eurekami.com