Question

If c = 13 and A = 73 degrees, find a. Round to the nearest tenth.

(A) 77.2
(B) 78.3
(C) 79.4
(D) 80.5

Answer 1

To find the value of a, we can use the sine function. The sine function relates the ratio of the length of the side opposite the angle to the length of the hypotenuse.

Step-by-step explanation:

To find the value of a, we can use the sine function. The sine function relates the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we know that the hypotenuse is 13 and the angle A is 73 degrees. So we can write the equation:

sin(A) = a/c

Plugging in the given values, we have:

sin(73) = a/13

To find the value of a, we can multiply both sides of the equation by 13:

a = 13 * sin(73)

Using a calculator to find the sine of 73 degrees and multiplying it by 13, we get approximately 12.9. Rounded to the nearest tenth, the value of a is 12.9.