How do I find the length of x and y in a right triangle. When the hypotenuse is 7 and the inside of the angle is 46 degrees?

Question

the opposite side of the 46 degrees is x and the adjacent is y.

Answer 1

Use the trigonometric ratios to determine the side lengths. We have:

sin(46) = opposite/hypotenuse = x/7

x = 7sin(46) = 5.035

cos(46) = adjacent/hypotenuse = y/7

y = 7cos(46) = 4.863