Question

Find the unknown length x in each right triangle ,to the nearest tenth

Answer 1

Okay so first let's find out our other angle. Since this is a triangle, it has 180°. We have two measurements already, 53° and 90°. To find the other angle simply add the angles and subtract by 180.

$53 + 90 = 143$

$180 - 143 = 37$

So our missing angle (D) is 37°.

To solve for our x we will be using the sine ratio and cosine ratio.

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

Let's plug in our numbers,

sin(53°) = x over 27

X ≈ 21.56

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I hope that helps you out !!

Any more questions, please feel free to ask me and I will gladly help you out !!

~Zoey