Question

Find the value of tan (θ) for an angle θ in standard position with the term array that passes through the point (5, 9).

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Answer 1

a.

Explanation:

tan(theta) = opposite/adjacent

= 9/5

Since it's in the first quadrant, tan is positive

Answer 2

A

Explanation:

Let's draw a picture (see attachment).

We know that this ray passes through (5, 9) in the first Quadrant and forms a right triangle if we drop a perpendicular line down from the point to the x-axis. We also know that opposite and adjacent sides of this triangle: opposite is 9 and adjacent is 5.

Tangent is opposite / adjacent, so we have:

tan(θ) = 9/5

The answer is A.