Question

If the terminal side of angle o, in standard position, passes through point (5,8), what is the numerical value of tan 0?

Answer 1

8/5

Explanation:

Standard position means that the vertex of angle θ is at (0, 0); the initial side is on positive x-axis, and the terminal side passes through the point (5,8). Then, the opposite side to θ is 8 units long and the adjacent side is 5 units long

From definition:

tan(θ) = opposite/ adjacent

tan(θ) = 8/5