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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.

Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree Here is his solution cosx1620 xcos11620368 class=

Respuesta :

calculista

Answer:

The missing angle is [tex]53\°[/tex]

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

[tex]sin(x)=\frac{16}{20}[/tex]

[tex]x=arcsin(\frac{16}{20})=53.13\°=53\°[/tex]

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