Answer:
x ≈ 21.8
Explanation:
You want the side length opposite the 98° angle in a triangle with side length 10 between that angle and one marked 55°.
Law of Sines
The law of sines can be used when angles are known and at least one side is known. The unknown angle is found by using the fact that the sum of angles is 180°.
angle opposite 10 = 180° -98° -55° = 27°
The law of sines tells you ...
a/sin(A) = b/sin(B)
x/sin(98°) = 10/sin(27°)
x = 10(sin(98°)/sin(27°)) ≈ 21.8
The value of x is about 21.8 units.
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