Question

Can someone help me find x

Answer 1

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