Answer: 8.66 m
Step-by-step explanation:
We will assume that this is a right triangle based on the picture. We are given an angle and the hypotenuse, and are asked to find the opposite side from the given angle. This will call for the trigonometric function of sine.
[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]\displaystyle sin(60\°)=\frac{AB}{AC}[/tex]
[tex]\displaystyle sin(60\°)=\frac{x}{10 \; m}[/tex]
[tex]\displaystyle 10\;m*(sin(60\°))=(\frac{x}{10 \; m})*10m[/tex]
[tex]\displaystyle 10\;m(sin(60\°))=x[/tex]
[tex]\displaystyle 10\;m(0.866025)=x[/tex]
[tex]\displaystyle 8.66025\;m=x[/tex]
[tex]\displaystyle x\approx 8.66\;m[/tex]
