A surveyor has a unit pace of 0.9 m/pace. (a) she counts 37 paces while walking From point C to point D. What is the distance between C to D? (b) how many paces should the same surveyor. count to lay out a line roughly 122m long?

a.)PF= D/ Ave no. of paces

D = PF x Ave no. of Paces
0.09 x 37
=33.3 m

b.) PF= D// Ave no of pace
122 m/ 0.9
=135.556 paces

(a) To find the distance between points C and D, we need to multiply the number of paces by the length of each pace.

Given:
Number of paces = 37
Length of each pace = 0.9 m/pace

Distance = Number of paces * Length of each pace
Distance = 37 * 0.9 m/pace
Distance = 33.3 m

Therefore, the distance between points C and D is approximately 33.3 meters.

(b) To find the number of paces needed to lay out a line approximately 122m long, we need to divide the length of the line by the length of each pace.

Given:
Length of the line = 122 m
Length of each pace = 0.9 m/pace

Number of paces = Length of the line / Length of each pace
Number of paces = 122 m / 0.9 m/pace
Number of paces = 135.6 paces

Therefore, the surveyor should count approximately 135.6 paces to lay out a line roughly 122m long.

To find the distance between points C and D, we can simply multiply the number of paces by the length of each pace.

(a) The surveyor counts 37 paces. Each pace is 0.9 meters long. Therefore, the distance between points C and D is:

Distance = Number of paces * Length of each pace
Distance = 37 paces * 0.9 m/pace
Distance = 33.3 meters

Therefore, the distance between points C and D is approximately 33.3 meters.

(b) To find out how many paces the surveyor should count to lay out a line of 122 meters, we can use the same formula:

Number of paces = Desired distance / Length of each pace
Number of paces = 122 meters / 0.9 m/pace

Dividing 122 meters by 0.9 m/pace, we get:

Number of paces ≈ 135.6 paces

Since it is not possible to count fractional paces, the surveyor should round up to the nearest whole number. Therefore, the surveyor should count approximately 136 paces to lay out a line roughly 122 meters long.

1 pace = 0.9 m

37 paces = x
Cross multiply to get:
x=37*0.9/1=?

When you cross multiply, multiply the complete diagonal (the one occupied by two numbers, i.e. 0.9 and 37) and divide by the number diagonally across from x, i.e. 1.

Similarly,
1 pace = 0.9 m
y paces = 122 m.
Cross multiply to get the answer.