Question

Use graph to answer question

Answer 1

53.13 degrees

Explanation:

From the shape of the graph, we can see that the plotted line forms a right-angled triangle with the x and y coordinates. As a result, we can use laws that govern the geometry of right-angled triangles to evaluate the solution.

`tan \theta = opposite/ adjacent`

The opposite side in this case is the side directly facing the angle Θ. This is the y - axis value = -4

The adjacent side in this case is the side above the angle Θ. This is the y - axis value = -3

`tan \theta = (-4/-3)\\\theta = tan ^-1(4/3) = 53.13 degrees`