Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.

here is his solution:
cos⁡x=16/20
x=cos^(-1)⁡(16/20)=36.8698976≈37°

bob made a mistake in his work. explain the mistake and write the correct solution.

The missing angle is

Step-by-step explanation:

Let

x-----> the missing angle

we know that

In the right triangle of the figure

The function sine of angle x is equal to divide the opposite side angle x by the hypotenuse

Bob's mistake was to have considered the cosine instead of the sine