Question

Triangle a b c. angle b is 90 degrees. hypotenuse a c is 41, adjacent side a b is 40, opposite side b c is 9. find tan a

a. 4.5556
b. 4.4444
c. 0.225
d. 1.025

Answer 1

To find tan A in the right-angled triangle ABC, divide the length of side BC by side AB, which gives tan A = 9/40 = 0.225.

Step-by-step explanation:

The question asks to find the value of tan A in a right-angled triangle ABC with angle B being 90 degrees, hypotenuse AC equal to 41, adjacent side AB equal to 40, and opposite side BC equal to 9. To find tan A, we use the definition of the tangent function in a right-angled triangle, which is the ratio of the opposite side to the adjacent side.

tan A = BC / AB = 9 / 40 = 0.225. Therefore, the correct answer is c. 0.225.