You must know the lengths of the opposing side and the hypotenuse to calculate the sine of an angle. Find the sine using the formula:
Find the sine of the angle.
Find the exact value of sin(30).
The exact value of sin(30) is 1/2.
We can show the result in multiple forms:
Exact form: 1/2
Decimal form: 0.5
XYZ is a right triangle. ∠XYZ = 35∘. Find the length of XY. Your answer should be rounded to the nearest hundredth.
The sine ratio enables us to determine XY, since sine = opposite/hypotenuse.
So, sin 35 = (XY/10)10(sin 35) = XY 10(0.573 58)
Answer: XY = 5.74cm