$d_T = d_M \pm E$

$d_T = d_M \pm \dfrac{d_M}{L_t} \cdot e$

Where

*d*_{T} = true distance

*d*_{M} = measured distance

*E* = total error = *Ne*

*N* = number of tape lengths = *d*_{M}/*L*_{t}

*L*_{t} = length of tape as marked

*e* = error per tape length (too long or too short)

± = (+) for tape too long, (-) for tape too short

Hence,

$d_T = 160.42 + \dfrac{160.42}{50}(0.02)$

$d_T = 160.484 ~ \text{m}$ ← *answer*

## Comments

## I think the answer is not B

I think the answer is not B but A. When the 50 meter steel tape is .02 m too long, a 50 meter reading in the tape is actually 49.98 m since the tape 50 meter tape is longer by .02m. Therefore a 160.42 m reading on the tape, should be less than 160.42 because the 50 meter tape is longer by .02. Letter B answer (160.484m) is grater than 160.42;hence said suggested answer is WRONG

## No. You actually mixed it up.

No. You actually mixed it up. If a 50-meter tape is 0.02 m too long then the correct distance for 50-m reading is equal to 50.02 m. The answer B is CORRECT.