Find the exact values of x and y.

Given:

θ = 60°

Opposite side of θ = 6

Adjacent side of θ = x

Hypotenuse = y

To find:

The value of x and y.

Solution:

Using basic trigonometric ratio formula:

The value of tan 60° = √3

Multiply by x on both sides.

Divide by √3 on both sides, we get

Using Pythagoras theorem:

Taking square root on both sides, we get

Therefore, the exact values of x and y are .

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