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# AQA A-level Maths Sine, cosine rules

1. Sine rule
2. Problems with sine rule
3. Cosine rule
4. Problems with cosine rule

When solving word problems with the sine rule it is best to draw a picture and label the known angles/side lengths.

When solving word problems with the cosine rule it is best to draw a picture and label the known angles/side lengths.

# 1

Use the cosine rule to find angle A, given a = 5, b = 7 and c = 6.

# 2

Find the length of pole A. Give your answer with two decimal places.

# 3

The diagram shows a ladder propped against a slightly slanted wall. Find the angle between the ladder and the wall.

# 4

A triangle is created using 3 poles. The poles are 20 m, 25 m and 23 m in length. Find the angle between the 20 m and 23 m poles.

# 5

Two match sticks are held up with their tips against each other. Both match sticks are 5 cm long. The angle between them is 65ΒΊ. Find the distance between the bottom of the match sticks along the ground.

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