Question

Find the measure of the indicated angle to the nearest degree. (Trigonometry) plz help

Answer 1

Answer:

23°

Step-by-step explanation:

This is a right triangle, so we can trigonometric ratios to solve for the angle. Since 3 sides are given, we can use either sine, cosine, or tangent to solve.

Let's just take sine to solve this. We know:

$Sin(x)=\frac{opposite}{hypotenuse}$

Where x is the angle and opposite side is the side opposite and hypotenuse is the side opposite the 90 degree angle.

So let the indicated angle be x, so the opposite side is 30 and hypotenuse is 78. Putting in the formula we get:

$Sin(x)=\frac{30}{78}\\Sin(x)=0.3846\\x=Sin^{-1}(0.3846)\\x=22.62$

To the nearest degree, this is 23°

Answer 2

The measure of nearest degree is $23$.

$Sin(x)=\dfrac{opposite\;side }{hypotenuse}$

$Sin(x)=\dfrac{30}{78}$

$Sin(x)=\dfrac{5}{13}$

$Sin(x)=0.3846\\x=sin^{-1}(0.3846)\\x=22.63$

$x=23$ degree

The measure of nearest degree is $23$.

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