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Find the value of x in the figure above


Question

Find the value of x in the figure above

Options

A) 15√6

B) 20√6

C) 3√6

D) 5√6

The correct answer is D.

Explanation:

\(\frac{X}{sin45}=\frac{15}{sin60}\\X=\frac{15sin45}{sin60}\\X=\frac{15\times(\frac{1}{\sqrt{2}})}{\sqrt{\frac{3}{2}}}\\X=\frac{15}{\sqrt{2}}\times\frac{2}{\sqrt{3}}\\X=\frac{30}{\sqrt{6}}\\X=\frac{30}{\sqrt{6}}\times\frac{\sqrt{6}}{\sqrt{6}}=\frac{30\sqrt{6}}{6}=5\sqrt{6}\)

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Dicussion (1)

  • \(\frac{X}{sin45}=\frac{15}{sin60}\\X=\frac{15sin45}{sin60}\\X=\frac{15\times(\frac{1}{\sqrt{2}})}{\sqrt{\frac{3}{2}}}\\X=\frac{15}{\sqrt{2}}\times\frac{2}{\sqrt{3}}\\X=\frac{30}{\sqrt{6}}\\X=\frac{30}{\sqrt{6}}\times\frac{\sqrt{6}}{\sqrt{6}}=\frac{30\sqrt{6}}{6}=5\sqrt{6}\)

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