Answer:
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
