Applying the sine ratio, the exact value of q, in simplest radical form is: q = 15√2 millimeters.
What is the value of q in simplest radical form?
To find the value of q, we would apply the sine ratio which is:
sin ∅ = opposite / hypotenuse
Given the following:
∅ = 30 degrees
opposite = q
hypotenuse = 30√2 mm
Plug in the values:
sin 30 = q / 30√2
Multiply both sides by 30√2:
sin 30 * 30√2 = q / 30√2 * 30√2
1/2 * 30√2 = q [sin 30 = 1/2]
15√2 = q
q = 15√2 millimeters.