Answer:
the vertical orange segment measures approximately 8.66 ft
Step-by-step explanation:
Use the sine function to find the lengths of the orange vertical segment.
Recall that the sine functions is defined as the quotient between the opposite side to a given acute angle in a right angle triangle and its hypotenuse. That is:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
So in our case, the angle is 60 degrees, and the hypotenuse is 10 ft, so this equation becomes:
[tex]sin(60^o)=\frac{opposite}{10\,ft}\\opposite=10\; ft * sin(60^o)\\\\opposite=8.66 ft[/tex]
