Question

The hypotenuse is 10ft. Find the length of the orange segment.

Answer 1

the vertical orange segment measures approximately 8.66 ft

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:

`sin(\theta)=(opposite)/(hypotenuse)`

So in our case, the angle is 60 degrees, and the hypotenuse is 10 ft, so this equation becomes:

`sin(60^o)=(opposite)/(10\,ft)\\opposite=10\; ft * sin(60^o)\\\\opposite=8.66 ft`