How do i find cosa, sina, and tana for a given right triangle? the triangle has a, b, and c. there is no given degree, but since it is a right triangle it has to be 90 degrees. the numbers are 70, 12, and x (missing side).

70 inches = opposite side

12 feet = hypotenuse side

x = adjacent side

how do i find the missing adjacent side?

college level math: math 114 for liberal arts majors

Step-by-step explanation:

First, convert feet to inches.

12ft = 144in

Use Pythagorean theorem to find the third side.

c² = a² + b²

144² = 70² + x²

x = √15836

x ≈ 125.8

Now use SOH CAH TOA to find the trigonometric values.

sine = opposite / hypotenuse

sin A = 125.8 / 144

sin A ≈ 0.874

cosine = adjacent / hypotenuse

cos A = 70 / 144

cos A ≈ 0.486

tangent = opposite / adjacent

tan A = 125.8 / 70

tan A ≈ 1.798