Question

Someone help me asap math 10

Answer 1

x ≈ 25.4 Km

Explanation:

Using the tangent ratio in the right triangle on the right

tan54° =
`(opposite)/(adjacent)` =
`(opp)/(17)` ( multiply both sides by 17 )

17 × tan54° = opp , thus

opp ≈ 23.4

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Using the cosine ratio in the right triangle on the left

cos23° =
`(adjacent)/(hypotenuse)` =
`(23.4)/(x)` ( multiply both sides by x )

x × cos23° = 23.4 ( divide both sides by cos23° )

x =
`(23.4)/(cos23)` ≈ 25. 4 Km ( to the nearest tenth )