Find each length:
the length of the longer leg of a 30° -60°-90° triangle with a hypotenuse of 14,
when θ = 60°

The length of the longer leg is

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In any triangle:

The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle

so

The longer leg is AC

we have

----> by SOH (opposite side divided by the hypotenuse)

Remember that

substitute the given values

since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted