Kyle is practicing for a 3 mile race. His normal time is 23 minutes and 26 seconds. Yesterday it took him 21 minutes and 38 seconds. How much faster was Kyle's time yesterday than his normal time?

It is 1 minute and 48 second difference so he was 1 minute and 48 second faster, I may be wrong so please check

Step-by-step explanation:

i am unable to solve this problem

step-by-step explanation:

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).