sin A= 24/25, length of third side? ratio for cos A? Tan A?

Question

 In a certain right triangle Sin A=24/25,

a.    What is the length of the third side? Use Pythagorean Theorem.

b.    What is the ratio for Cos A?

c.     What is the ratio for Tan A?

 

 

Answer 1

sinA  = 24/25

Therefore opposite side is 24 and hypotenuse is 25.

a) To find length of third side

From the Pythagoren therom

(24)^2+(adjacentside)^2 = (25)^2

576+(adjacent side)^2 = 625

adjacent side = sqrt(625-576)

adjacent side = sqrt(49)

adjacent side = 7

b) ratio of cosA = adjacent side/hypotenuse

cosA = 7/25

c) ratio of TanA = opposite side/adjacent side

TanA = 24/7