Angle upper C is a right angle. The length of side upper A upper B is 171. The length of

Question

In the right triangle shown, what is the value of $\sin A$ ?

Accepted Answer

Choice B is correct. The sine of an acute angle in a right triangle is the ratio of the length of the side opposite that angle to the length of the hypotenuse. The hypotenuse of a right triangle is the side opposite the right angle. In right triangle A B C , side B C is the side opposite angle A and side A B is the hypotenuse. It's given that the length of side B C is 35 units and the length of side A B is 171 units. Therefore, the value of sin A is 35 171 . Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect. This is the ratio of the length of the hypotenuse to the length of the side opposite angle A rather than the ratio of the length of the side opposite angle A to the length of the hypotenuse. Choice D is incorrect. This is the length of the hypotenuse rather than sin A .

Question angle-