Question

What is the value of x to the nearest degree?

25


15


65


45

Answer 1

`\textbf{Answer}`

65 degrees

`\textbf{Explanation}`

Determine which trigonomic function is required

The opposite leg is 13 and the adjacent leg is 6

We will be using tangent function

tan^-1 (13/6)

tan^-1 (13/6) = 65

Answer 2

for this case we have to define trigonometric relations of rectangular triangles, that the tangent of an angle is given by the leg opposite the angle on the leg adjacent to the angle. Then, according to the figure we have:

`tg (x) = \frac {13} {6}\\x = arctg (\frac {13} {6})\\x = 65.22485943`

Round,

`x = 65` degrees

Answer:

65