A right triangle has a Hypotneus of X an Adjacent of 6sqr3 an Oppiste of y and an Angle of 60*

Question

What do X and Y equal

Answer 1

In a right triangle, the hypotenuse is the side opposite the right angle, and the adjacent side is the side next to the given angle. The opposite side is the side opposite to the given angle.

Given that the hypotenuse is X, the adjacent side is 6√3, and the given angle is 60°, we can use trigonometric ratios to find the values of X and Y.

Using the cosine ratio, which relates the adjacent side to the hypotenuse, we have:

cos(angle) = adjacent/hypotenuse
cos(60°) = (6√3)/X

Simplifying this equation, we get:

1/2 = (6√3)/X
X = 2*(6√3)
X = 12√3

Now, using the sine ratio, which relates the opposite side to the hypotenuse, we have:

sin(angle) = opposite/hypotenuse
sin(60°) = y/X

Simplifying this equation, we get:

√3/2 = y/(12√3)

Cross-multiplying and simplifying, we have:

2y = 12
y = 6

Therefore, X = 12√3 and Y = 6.