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19.Find the indicated angle measure to the nearest degree.20?A.66°B. 24С.63°D27°

19.Find the indicated angle measure to the nearest degree.20?A.66°B. 24С.63°D27°-example-1
User Ben Hymers
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1 Answer

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The indicated angle measure to the neares

Here, we want to find the measure of the indicated angle

Let us call this X

Looking at the triangle, we can see a right angle. This makes the triangle a right triangle

The right angle faces the side that measures 20. The side that faces the right angle is called the hypotenuse and it is the longest side of the triangle

Secondly, we can see that the angle we want to calculate faces the side that measures 9, this side is called the opposite

So, the appropriate trigonometric identity we want to use will be the sine since it is the trigonometric identity that connects the opposite and the hypotenuse

Mathematically, the sine of an angle is the ratio of its opposite to its hypotenuse

Specifically, with respect to this case, we have it that;


\begin{gathered} \sin \text{ X = }(9)/(20) \\ \\ X\text{ =}\sin ^(-1)((9)/(20)) \\ \\ X\text{ = }27\text{ } \end{gathered}

User Camilo Casadiego
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