Question

Triangle a b c. angle c is 90 degrees. hypotenuse a b is 29, adjacent side a c is 21, opposite side c b is 20. for the triangle above, find sin a.

a. 0.724
b. 50°
c. 49°
d. 0.69

Answer 1

Sin A in the right triangle ABC with angle C being 90 degrees is calculated as the ratio of the opposite side CB to the hypotenuse AB, which is 20/29. The value of sin A is approximately 0.69, making option D the correct answer.

Step-by-step explanation:

To find sin A in the given right triangle ABC with angle C being 90 degrees, you can use the definition of sin, which is the ratio of the opposite side to the hypotenuse. In this case, angle A is opposite side CB and adjacent to side AC, with AB as the hypotenuse. Therefore, sin A = opposite/hypotenuse = CB/AB = 20/29.

After calculating the ratio, you can use a calculator or a trigonometric table to find the sine value that corresponds to sin A. However, as the given options appear to include an angle measurement, there might be a confusion because the sine value does not directly give you the angle in degrees.

So, to check if the value falls under any of the given options, you can calculate sin A = 20/29 ≈ 0.69. Therefore, the correct answer from the given options is D. 0.69.