Answer: option C is the correct answer
Explanation:
The triangle ABC, with A as the reference angle, the sides are
Hypotenuse = AB = 13 ft
Adjacent side = AC
Opposite side = BC = 5ft
To determine the adjacent side, AC, we will apply Pythagoras theorem,
Hypotenuse^2 = adjacent ^2 + opposite^2.
13^2 = AC^2 + 5^2
169 = AC^2 + 25
AC^2 = 169 - 25 = 144
AC = √144 = 12 ft
Sin A = opposite side / hypotenuse
= 5/13
Cos A = adjacent side / hypotenuse
= 12/13
Tan A = opposite side / adjacent side = 5/12
Cot A = 1/tan A = 1/(5/12) = 12/5
Sec A = 1/cosA = 1/(12/13) = 13/12
CSC A = 1/sinA = 1/(5/13) = 13/5