Question

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

Answer 1

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

`\tan X=(36)/(27)`

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

`\begin{gathered} X=\tan ^(-1)((36)/(27)) \\ X=\tan ^(-1)(1.3333) \end{gathered}`

then, we have

`X=53.13\text{ degre}es`

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