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Consider the diagram below.
450
х
45°
7
Which of the following is the value of x?

Consider The Diagram Below 450 Х 45 7 Which Of The Following Is The Value Of X class=

Sagot :

Answer:

C

Step-by-step explanation:

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

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

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

cross-  multiplying gives

y = 7[tex]\sqrt{2}[/tex]

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using the sine ratio in the upper right triangle

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

x = 7[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 7 × 2 = 14

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