In a right triangle the adjacent side = 12, the opposite side = 35, and the hypotenuse = 37. What does the opposite angle =?
a-71,1 deg
b-18.9 deg
c-29.2 deg
d-90 deg
my answer is 18.89 degrees
well,
sin x = 12/37
cos x = 35/37
so, x is close to zero
either (b) or (c)
push the buttons and find out
To find the opposite angle in a right triangle, you can use trigonometric functions. In this case, we can use the tangent function.
The tangent function relates the opposite side to the adjacent side in a right triangle. It is defined as the ratio of the length of the opposite side to the length of the adjacent side.
In this problem, we are given the lengths of the adjacent side (12) and the opposite side (35). We need to find the angle whose opposite side is 35 and adjacent side is 12.
Using the tangent function, we can calculate the angle as follows:
tan(angle) = opposite/adjacent
tan(angle) = 35/12
To find the angle, we need to take the inverse tangent (or arctan) of the result:
angle = arctan(35/12)
Using a calculator, we can find that angle ≈ 71.07 degrees.
So the correct answer is a-71.1 degrees, not 18.89 degrees.