He equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. for a moving object, the equation d = st represents a proportional relationship between distance (d) and speed (s) or between distance (d) and time (t). explain the different ways that you can define the constant of proportionality for this equation. then describe some other equations that represent proportional relationships in the real world and explain why they’re useful. research on the internet, if needed.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).