Question

What’s the correct answer for this question?

Answer 1

¾

Explanation:

sin C = opposite/hypotenuse = ⅗

Adjacent² = 5² - 3² = 16

Adjacent = 4

Tan C = opposite/adjacent = ¾

Answer 2

tan C = 3/4

Explanation:

sin C = opposite over hypotenuse

sin C = 3/5

BC = 5

AB = 3

We can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 5^2

9 + b^2= 25

Subtract 9 from each side

9-9+b^2=25-9

b^2= 16

Take the square root of each side

sqrt(b^2)= sqrt(16)

b = 4

AC = 4

Tan C = opp side/ adj side

tan C = AB/ AC = 3/4