Question

Work out the length k. Give your answer in centimetres to 1 d.p. k 37° 24.9 cm
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Answer 1

k ≈ 31.2 cm

Explanation:

using the cosine ratio in the right triangle

cos37° =
`(adjacent)/(hypotenuse)` =
`(24.9)/(k)` ( multiply both sides by k )

k × cos37° = 24.9 ( divide both sides by cos37° )

k =
`(24.9)/(cos37)` ≈ 31.2 cm ( to 1 decimal place )