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HELP WITH THIS QUESTION PLEASE!!!

HELP WITH THIS QUESTION PLEASE!!!-example-1

1 Answer

3 votes

Answer:

x ≈ 77.5°

Explanation:

Using the tangent ration in ΔBCD

tan38° =
(opposite)/(adjacent) =
(DC)/(DB) =
(DC)/(3.5)

Multiply both sides by 3.5, then

DC = 3.5 × tan38° ≈ 2.734

Using the sine ratio in ΔACD

sinx° =
(opposite)/(hypotenuse) =
(DC)/(AC) =
(2.734)/(2.8)

x =
sin^(-1)(
(2.734)/(2.8) ) ≈ 77.5°

User Knoefel
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