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Mark is part of your group on the orienteering exercise. He ends up in a different place than the rest of the group. The directions to the location were 45 degrees, 200 feet. He tells you that he set up his compass to point NE, held his compass flat, turned his body until the needle lined up with the "red shed". He calculated that he had to walk at 540 paces based on his pace of 2.7 feet per step. Where did he go wrong?

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The Number of paces taken by Mark is more than required, hence, the reason he ended up in a different location.

The actual direction = 45 degrees

This means that using a compass clinometer, the location is in the north east direction (NE)

THE distance = 200 feets

Mark's pace = 2.7 feets per steps

Number of paces = 540 paces

Distance covered = speed per pace × number of paces

Distance covered by Mark = 2.7 × 540 = 1458 feets

The number of paces he should have taken :

200 feets / 2.7 = 74.07 paces

Mark should have taken about 74 paces.

Hence, the Number of paces taken by Mark is more than required, reason why he ended up in a different place.

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