Question

A surveyor is surveying a street. The surveyor is standing at point P looking down the street at a No Parking sign at point C and a Stop sign at point R. Given PC = 6x-5 meters, PR = 29 meters, CR = 7 meters, and point C is between P and R, what is xin meters?

Answer 1

4.5 metres

Explanation:

If point C is between P and R, then PC+CR = PR.

Given PC = 6x-5

CR = 7 and PR = 29

Required

Find the value of x in metres

Substitute the given values into the formula;

6x-5+7 = 29

6x+2 = 29

subtract 2 from both sides

6x-2+2 = 29-2

6x = 27

Divide both sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

x = 4.5 metres

Hence the value of x in metres is 4.5metres