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SOMEONE PLEASE HELP ME WITH THIS QUESTION!!!

4. Given cos A = 0.25, find angle A in degrees. Round your answer to the nearest to the hundredth.

A. 34.12 degrees
B. 56.78 degrees
C. 75.52 degrees
D. 123.98 degrees

Respuesta :

mdavonte4
i believe that it is 75.52
apocritia

Solution:

Given cos A = 0.25.

we have been asked to find value of the angle A in degree.

As we know that if

[tex]cos \theta=k\\ \\ \text{Then we can write }\\ \\ \theta=cos^{-1}k\\ \\ \text{Thereafter we can find the value of theta using the calculator }[/tex]

So using this concept we can write

[tex]A=cos^{-1}0.25\\ \\ A=75.5224\\ \\ A \approx 75.52\\[/tex]

Hence the correct option is C.