Based on the given length of the sides of right angle triangle MNO, angle x is approximately 51.6 degrees.
How to solve for angle x in the right triangle
To solve for angle x in the right triangle MNO using the cosine function,
cos(x) = adjacent / hypotenuse
Given:
Adjacent side (MN) = 59
Hypotenuse side (MO) = 95
Plug in these values into the formula
cos(x) = 59 / 95
To find x, take the inverse cosine (arccos) of both sides:
x = arccos(59 / 95)
Using a calculator, we find that arccos(59 / 95) is approximately 51.6 degrees
Therefore, rounding to the nearest tenth of a degree, angle x is approximately 51.6 degrees.