Question

A surveyor is surveying a street. The surveyor is standing at point R looking down the street at a No Parking sign at point A and a Stop sign at point P. Given RA = 5x-7 meters, RP = 30 meters, AP = 6 meters, and point A is between R and P, what is cin meters?

A) 6.2
B) 7.2
С) 14.4
D) 15.4

Answer 1

The value of 'x' when solving for the distance RA given the equation RA = 5x - 7 and the distances RP = 30 meters and AP = 6 meters is 6.2 meters. The actual length of RA when x=6.2 is 24 meters.

Step-by-step explanation:

To solve the problem involving a surveyor who is measuring the distances between points R, A, and P, we first need to establish the relationships between the given distances. We are given that RA = 5x - 7 meters, RP = 30 meters, and AP = 6 meters, with point A being between R and P. We can express the relationship as:

RA + AP = RP.

Substituting the given values, we can write:

(5x - 7) + 6 = 30.

By solving the equation, we can find the value of x. Subtract 6 from both sides to get:

5x - 7 = 24.

Add 7 to both sides to obtain:

5x = 31.

Divide both sides by 5 to find the value of x:

x = 6.2.

Therefore, the correct length for RA in meters, when x=6.2, will be:

RA = 5(6.2) - 7 = 31 - 7 = 24 meters.

The correct answer to the question 'what is c in meters' is unclear since there was no mention of a variable 'c' in the initial problem. However, if 'c' is intended to represent the value of 'x', then the answer is 6.2 meters.