Question

Consider the diagram below.

Answer 1

Answer:

C

Step-by-step explanation:

using the sin ratio in the lower right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{7}{y}$ = $\frac{1}{\sqrt{2} }$ [ y represents the hypotenuse ]

cross-  multiplying gives

y = 7$\sqrt{2}$

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using the sine ratio in the upper right triangle

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{y}{x}$ = $\frac{7\sqrt{2} }{x}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x = 7$\sqrt{2}$ × $\sqrt{2}$ = 7 × 2 = 14