Question

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

Use a trigonometric ratio to compute a distance

Question 3 options:

62.25


100.25


101.12


128.32

Answer 1

100.25

Explanation:

Using the cosine ration in the right triangle, then

cos38° =
`(adjacent)/(hypotenuse)` =
`(79)/(x)`

Multiply both sides by x

x × cos38° = 79 ( divide both sides by cos38° )

x =
`(79)/(cos38)` ≈ 100.25

Answer 2

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➷ cos38 = 79/x

x = 79/cos38

x = 100.2524

The correct option would be 100.25

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