Today we started learning about Biot-Savart law. While deriving the formula, our professor listed out a bunch of relations, which have been experimentally determined,

->dB is directly proportional to current, length of element, and inversely proportional to square of distance.

This all seemed ok and relatable, and then he wrote another proportionality-> dB is directly proportional to sine of angle between position vector and current flow.

This seemed completely non intuitive to me. Is there any logical way of deducing this?