Just right now, I had insight for how to solve it :)berkeman said:
The relation between ##d## (distance) and ##\theta## (angle) is described by trigonometric functions, specifically the tangent function. The tangent of an angle is equal to the opposite side (d) divided by the adjacent side (d). This means that the value of ##\theta## affects the value of ##d## and vice versa.
To calculate the value of ##d##, you can use the trigonometric formula ##d = \frac{opp}{tan(\theta)}##, where ##opp## is the length of the opposite side to the angle ##\theta##.
Yes, the value of ##d## can be negative or zero. If the angle ##\theta## is greater than 90 degrees, the opposite side (##opp##) will become negative, resulting in a negative value for ##d##. If the angle is 90 degrees, the tangent function will be undefined, resulting in a value of zero for ##d##.
As mentioned before, changing the value of ##\theta## will affect the value of ##d##. As ##\theta## increases, the value of ##d## also increases. This is because the angle and the opposite side (##opp##) are directly proportional, meaning that as one increases, the other also increases.
You can use the inverse tangent function (also known as arctangent) to find the value of ##\theta## given the value of ##d##. The formula is ##\theta = tan^{-1}(\frac{opp}{d})##, where ##opp## is the value of the opposite side and ##d## is the value of the adjacent side.