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lisabon 2012 [21]
3 years ago
8

Please help me!! will mark you brainliast

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

Answer: x=7 sqrt(6)\ \ or\ x=7\sqrt{6}

Step-by-step explanation:

For this exercise you can use the following Trigonometric Identity:

sin\alpha =\frac{opposite}{hypotenuse}

In this case you can identify in the figure given in the exercise that:

\alpha =45\°\\\\opposite=7\sqrt{3}\\\\hypotenuse=x

Knowing those values, you must substitute them into  sin\alpha =\frac{opposite}{hypotenuse}, as following:

sin(45\°)=\frac{7\sqrt{3}}{x}

Now you must solve for "x" in order to find its value.

You need to remember that, by definition:

 sin(45\°)=\frac{1}{\sqrt{2}}

Therefore, you get that the value of "x" is:

(x)(\frac{1}{\sqrt{2}} )=7\sqrt{3}\\\\x=(7\sqrt{3})( \sqrt{2}})\\\\x=7\sqrt{6}}

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Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

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