a map shows a section of highway 18 that forms a straight line a family plans to drive 440 miles on highway 18 from springfield columbia they drive for 66 miles and then decide they will stop halfway though their trip to rest the night how much farther do they need to drive before they stop for the night

  They need to drive 154 miles before they stop for the night.

Step-by-step explanation:

Given: Total distance for trip = 440 miles

Halfway distance =

Let x be the distance they need to drive to reach halfway from the current position.

Since, they already drove 66 miles, so

x+66 = 220

⇒ x = 220-66

⇒ x = 154 miles

Hence, they need to drive 154 miles before they stop for the night.

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).