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patriot [66]
2 years ago
6

Find the missing part.

Mathematics
1 answer:
sveta [45]2 years ago
7 0

Answer:

The answer is a = \frac{15}{4}

Step-by-step explanation:

We have to:

cos(\theta) = \frac{adjacent\ side}{hypotenuse}

So, if we take the 60 degree angle of the smallest triangle, we have to:

cos(60) = \frac{a}{x}

We do not know x. But if we take the sine of the angle of 30 degrees and the main triangle we have:

sin(30) = \frac{x}{15}\\\\x =\frac{15}{2}

Then:

cos(60) = \frac{a}{\frac{15}{2}}

a = cos(60)\frac{15}{2}

a = \frac{15}{4}

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