Question

HELP WITH THIS QUESTION PLEASE!!!

Answer 1

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°