Answer:
x = 182.53
Step-by-step explanation:
Use trigonometric ratios to find the whole side length (a) adjacent to 20° and the side length (b) adjacent to 57° respectively. Then find the difference. That would give you the value of x. That is: a - b = x
Let's solve.
✍️Finding the whole side length adjacent to 20°:
Opp = 87
Adjacent length = ? = a
Thus,
Plug in the values
Multiply both sides by a
Divide both sides by tan(20)
Finding the side length adjacent to 57°:
Opp = 87
Adjacent length = ? = b
Thus,
Plug in the values
Multiply both sides by b
Divide both sides by tan(57)
Therefore:
x = a - b
x = 239.03 - 56.50
x = 182.53