Correct Answer: Option B

Explanation

∠yxz = 180 - (45 + 15)
= 180 - 60
= 120o
Using sine rule
\(\frac{x}{sinx}=\frac{7}{sinz}\)
\(\frac{x}{sin 120}=\frac{7}{sin 45}\)
x = \(\frac{7 sin 120}{sin45}\)
x = \(\frac{7sin(180-120)}{sin 45}\)
x = \(\frac{7 sin 60}{sin 45}=\left(7\left(\frac{\sqrt{3}}{2}\right)\div \frac{1}{\sqrt{2}}\right)\)
x = \(\left(7\left(\frac{\sqrt{3}}{2}\right)\div \frac{1}{\sqrt{2}}\right)\)
x = 7\(\left(\frac{\sqrt{6}}{2}\right)\)

There is an explanation video available below.

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