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emmainna [20.7K]
3 years ago
15

If tan(theta) is 5/12 and theta is an acute angle, find sin(theta)

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Comment

The tangent represents the sides making up the right angle in a right angle triangle. To find out the answer to what you have asked, the simplest way is to assume that you are talking about a right angle triangle.

Step One

Find the hypotenuse. Use a variation of the Pythagorean Theorem.

opposite^2 + adjacent^2 = hypotenuse^2

5^2 + 12^2 = x^2

25 + 144 = x^2

x^2 = 169

sqrt(x^2) = sqrt(169)

x = 13

Step Two

Find the sine.

When the tangent is given, the opposite in this case is 5.

That's because the opposite is always the numerator of a tangent.

Sin(theta) = 5/13 Answer

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What is the area of a regular nonagon with 10 cm sides and an apothem if 6cm?
bearhunter [10]

Answer:

The area of the nonagon is 270cm²

Step-by-step explanation:

The area of a regular polygon is given by

=  \frac{1}{2} ap

where 'a' is the apothem and 'p' is the perimeter.

The apothem is a=6cm.

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We substitute the apothem and the perimeter to get:

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torisob [31]
That is easy!! :)
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2 years ago
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Answer:

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6 0
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Read 2 more answers
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