Question

To the nearest hundredth, what is the value of x?

Question 2 options:

36.08


41.51


47.81


72.88

Answer 1

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➷ cos41 = x/55

x = cos41 x 55

x = 41.50902

The correct option would be 41.51

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Answer 2

41.51

Explanation:

Using the cosine ratio in the right triangle

cos41° =
`(adjacent)/(hypotenuse)` =
`(x)/(55)`

Multiply both sides by 55

55 × cos41° = x

⇒ x = 41.51 ( to the nearest hundredth )