What is the value of x to the nearest tenth?

The correct answer is (C) 8.8

Step-by-step explanation: The given triangle has two sides and two angles given. However it is not a right angled triangle. In order to calculate an unknown side or angle in questions such as this, we shall apply the sine rule, which states;

a/SinA = b/SinB = c/SinC

Where the reference angle is that facing the line (that is, SinA is the angle facing line a, etc).

To calculate x, we shall use angle 28 as the reference angle. We have also been given line 8.2, and the angle facing it is derived as

180 - (28 + 126)

= 180 - 154

= 26

If the angle facing line 8.2 is 26, then the sine rule can be applied as follows;

x/Sin28 = 8.2/Sin26

By cross multiplication we now have

x (Sin26) = 8.2 (Sin28)

x = [8.2 (Sin28)]/Sin26

x = (8.2 x0.4695)/0.4384

x = 8.7817

Approximately x = 8.8 (to the nearest tenth)

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step-by-step explanation:

step-by-step explanation:

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