Answer:
Rounded to the nearest tenth: [tex]x=5.7[/tex] in
Rounded to the nearest hundredth: [tex]x=5.74[/tex] 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, [tex]x[/tex], and its hypotenuse 10 in. To find [tex]x[/tex], we are using the trig function that relates the opposite side with the hypotenuse; in other words, the sine trig function.
[tex]sin\alpha =\frac{opposite}{hypotenuse}[/tex]
[tex]sin(35)=\frac{x}{10}[/tex]
[tex]x=10sin(35)[/tex]
[tex]x=5.735764364[/tex]
Rounded to the nearest tenth: [tex]x=5.7[/tex] in
Rounded to the nearest hundredth: [tex]x=5.74[/tex] in
