To find the adjacent side of the right triangle, we can use the trigonometric function of cosine, which is defined as adjacent side divided by hypotenuse side.
Given that the opposite side is 12 and the angle theta is 54 degrees, we can let the opposite side be equal to 12, the hypotenuse be equal to 1 (as it is just the normalized value for trigonometric functions), and the adjacent side be equal to x.
Therefore, we can write the equation for cosine as:
cos(theta) = adjacent side / hypotenuse
cos(54) = x / 1
x = cos(54)
x = 0.5878 (approx.)
Therefore, the adjacent side of the right triangle is approximately 0.5878.
Find adjacent side of right triangle if the opposite side equals 12, and theta equals 54 degrees
1 answer
1 answer