Question

Find f. 6 in f 30° 60°. Write your answer in simplest radical form.

a) 6√3
b) 3√2
c) 6√2
d) 3√3

Answer 1

To find f in the expression f 30° 60°, use the sine function and rearrange the equation to solve for f.

Step-by-step explanation:

To find f in the expression f 30° 60°, we can use the trigonometric functions. In this case, since 30° and 60° are angles in a triangle, we can use the sine function: sin(30°) = opposite/hypotenuse. The opposite side of the angle is f, and the hypotenuse is 6. So we have sin(30°) = f/6. We can rearrange this equation to solve for f: f = 6 * sin(30°). Applying the value of sin(30°) = 1/2, we get f = 6 * 1/2 = 3.