Final answer:
The angle with θ= -4/5 and a positive sine value lies in Quadrant II, where sine is positive and tangent (opposite/adjacent) is negative. Therefore, the answer is b. Quadrant II.
Step-by-step explanation:
To determine the quadrant in which the angle θ= -4/5 and sinθ is positive, we can consider the trigonometric function signs in each quadrant. In the first quadrant, all trigonometric functions are positive. In the second quadrant, sine is positive while cosine and tangent are negative.
In the third quadrant, the tangent is positive while sine and cosine are negative. In the fourth quadrant, cosine is positive while sine and tangent are negative.
Given that θ= -4/5 (which indicates the angle's tangent - opposite/adjacent - is negative) and that sinθ is positive, the only quadrant that satisfies both conditions is the second quadrant (Quadrant II). Here, the x-component (cosine) is negative, and the y-component (sine) is positive, which would result in a negative tangent and a positive sine value.
Therefore, the answer is b. Quadrant II.