Solve for x (round to the nearest thousandth) to
FREE
HEALTH
le
110
CA
65
40°
х

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799

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step-by-step explanation:

answer: its the third option.

step-by-step explanation:

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