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natima [27]
2 years ago
11

Can someone help me find x

Mathematics
1 answer:
Viefleur [7K]2 years ago
4 0

Answer:

Rounded to the nearest tenth: x=5.7 in

Rounded to the nearest hundredth: x=5.74 in

Step-by-step explanation:

We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, x, and its hypotenuse 10 in. To find x, we are using the trig function that relates  the opposite side with the hypotenuse; in other words, the sine trig function.

sin\alpha =\frac{opposite}{hypotenuse}

sin(35)=\frac{x}{10}

x=10sin(35)

x=5.735764364

Rounded to the nearest tenth: x=5.7 in

Rounded to the nearest hundredth: x=5.74 in

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