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Find the value of the degree being used in the trigonometric function round to the nearest whole number

Find The Value Of The Degree Being Used In The Trigonometric Function Round To The Nearest Whole Number class=

Sagot :

Since we have a right triangle and the hypotenuse is in front of the right angle, then the tangent of angle X is given by

[tex]\tan X=\frac{36}{27}[/tex]

then, applying the inverse function on both sides, we get

[tex]\begin{gathered} X=\tan ^{-1}(\frac{36}{27}) \\ X=\tan ^{-1}(1.3333) \end{gathered}[/tex]

then, we have

[tex]X=53.13\text{ degre}es[/tex]

By rounding down to the nearest integer, the answer is 53 degrees

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