To find sin B in triangle ABC, we can use the sine ratio. The sine ratio states that the ratio of the length of the side opposite an angle to the length of the hypotenuse is equal to the sine of that angle. Simplifying this fraction gives us sin B = 9 / 7.
Step-by-step explanation:
To find sin B in triangle ABC, we can use the sine ratio. The sine ratio states that the ratio of the length of the side opposite an angle to the length of the hypotenuse is equal to the sine of that angle.
In triangle ABC, side AB is the side opposite angle B and side AC is the hypotenuse. Given that AB = 72 units and AC = 56 units, we can write the sine ratio as sin B = AB / AC.
Plugging in the given values, we have sin B = 72 / 56. Simplifying this fraction gives us sin B = 9 / 7.