2 Answers

James Tauber · Answer 1 · 2021-01-17T04:45:43+0000

Answer:

x ≈ 6.6, y ≈ 13.3

Explanation:

Using the tangent ratio in the right triangle to find x

tan30° =
(opposite)/(adjacent) =
(BC)/(AB) =
(x)/(11.5) ( multiply both sides by 11.5 )

11.5 × tan30° = x , then

x ≈ 6.6 ( to the nearest tenth )

Using the cosine ratio in the right triangle to find y

cos30° =
(adjacent)/(hypotenuse) =
(AB)/(AC) =
(11.5)/(y) ( multiply both sides by y )

y × cos30° = 11.5 ( divide both sides by cos30° )

y =
(11.5)/(cos30) ≈ 13.3

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