Question

A surveyor is surveying a street. The surveyor is standing at point A looking down the street at a No Parking sign at point P and a Stop sign at point C. Given AP = 3x-8 meters, AC = 25 meters, PC = 8 meters, and point P is between A and C, what is in meters?

Answer 1

x = 8.33 meters

Explanation:

what is x in meters?

The line segment addition postulates states that given two endpoints A and C with a point B placed between point A and point C, then the points A, B and C meets the equation:

AB + BC = AC

Since point P is between point A and point C. Hence the following equation holds:

AC = AP + PC

Substituting values:

25 = 3x - 8 + 8

3x = 25

x = 25/3

x = 8.33 meters

AP = 3x - 8 = 3(8.33) - 8 = 17 meters