The sine of angle C in the given right triangle is 5√29 / 29.
How to determine sine of angle C
In a right triangle ABC, the sine of angle C can be determined using the opposite side and the hypotenuse.
The sine is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
Given that the opposite side is 5 and the hypotenuse is √29, calculate the sine of angle C as follows:
sine of angle C = opposite / hypotenuse
sine of angle C = 5 / √29
To rationalize the denominator, multiply both the numerator and denominator by √29:
sine of angle C = (5 / √29) * (√29 / √29)
sine of angle C = 5√29 / 29
Therefore, the sine of angle C in the given right triangle is 5√29 / 29.