Answer:
x = 109.349
x = 110 (to the nearest tenth)
Explanation:
We can solve for "x" using the sine formula.
Sine formula is expressed as:
sinA / a = sinB/b = sinC/c
Where A, B and C are the values of the given angles
a, b, and c are the values of the corresponding length of the sides to each angles of the triangle.
Let's proceed to applying the sine formula.
sin33 / 59.2 = sin73/ x
Let's cross Multiply and solve for "x"
x * sin33° = 59.2 * sin73°
(Punch your calculator)
sin 33° = 0.545
sin 73° = 0.956
Therefore: let's substitute the value of sin33° and sin73°
x * 0.545 = 59.2 * 0.956
x = 59.595 / 0.545
x = 109.349
x = 110 (to the nearest tenth)