Question

NEED THE ANSWER ASAP

Answer 1

Answer:

c = 7$\sqrt{3}$

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = $\frac{\sqrt{2} }{2}$, then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{7\sqrt{2} }$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

2a = 14 ( divide both sides by 2 )

a = 7

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Using the tangent ratio in the right triangle and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , then

tan30° = $\frac{opposite}{adjacent}$ = $\frac{a}{c}$ = $\frac{7}{c}$ = $\frac{1}{\sqrt{3} }$ ( cross- multiply )

c = 7$\sqrt{3}$

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