find the missing angle. there is a right triangle. the bottom side is 25 and the hypotenuse is 40. we are trying to to find the bottom hypotenuse angle, x.
To find the missing angle in a right triangle, you can use trigonometric ratios.
In this case, since you know the length of the two sides, you can use the sine ratio.
sin(x) = opposite/hypotenuse
In this triangle, the side opposite to angle x is 25, and the hypotenuse is 40.
So, sin(x) = 25/40
To find the value of sin(x), we can use a calculator:
sin(x) = 0.625
Now, we need to find the angle whose sine is 0.625. This can be done by taking the inverse sine (sin^(-1)(0.625)).
Using a calculator, the inverse sine of 0.625 is approximately 38.558.
Therefore, the missing angle, x, is approximately 38.558 degrees.