Answer:
We can use the trigonometric function sine to calculate the length of AB in a right-angled triangle.
The sine function relates the ratio of the side opposite an angle (in this case, AB) to the hypotenuse (AC) with the angle in question (in this case, angle C):
sin(C) = AB/AC
In this case, we know that angle C is 29 degrees and the hypotenuse AC is 5cm, so we can substitute these values into the equation to find AB:
sin(29) = AB/5
To solve for AB, we can multiply both sides of the equation by 5:
AB = 5sin(29)
AB=2.42cm