Question

Find tan q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

Answer 1

D. 3/4

Explanation:

this is the correct answer on ed-genuity, hope this helps!

Answer 2

The coordintates of the point mark the opposite-leg and adjacent leg of a right triangle.

The opposed-leg is the y-coordinate, this is 3.

The adjacent-leg is the x-coordinate, this is 4.

The tangent of the angle q is given by:

tan(q) = y-coordinate / x-coordinate = 3 / 4 = 0.75

Answer: 0.75