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Question

ΔABC is right angled at C with sides AB = 10 cm and AC = 6 cm. Find cosB.


A

86

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B

610

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C

45

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D

35

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Solution

The correct option is C

45



In ΔABC, AB = 10 cm and AC=6 cm.
Applying Pythagoras' theorem to ΔABC, we have

AC2+BC2=AB2.

62+BC2=102

BC2=10036

BC=64=8 cm

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

cos B=BCAB=810=45


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