Asurveyor's 30-m steel tape is correct at 68° f. on a hot day, the tape has expanded to 30.02 m. on that day, the tape indicates a distance of 15.52 m between two points. the true distance between these points is : a) 15.50 m b) 15.53 m c) 15.54 m d) 15.51 m e) 15.52 m

The correct answer is 15.50 m which corresponds to option 'a'.

Explanation:

As we know that due to increase in temperature the length of the tape shall increase thus it shall give incorrect measurements when we measure any length by it.

We know that

Error = Measured Value - True Value

Thus for the given tape

Thus for the second observation we have

True Value = Measured Value - Error

Thus option 'a' is the correct answer.  

0.19 m/s and 0.45 m/s