1.A pile of 15 boxes is 3 metres high. What is the depth of each box?

2.An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?

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Answer:

#1

The depth of each box:

  • 3 m / 15 =
  • 300 cm / 15 =
  • 20 cm

#2

The error is:

  • 62 - 60 = 2 degrees

The percentage error:

  • 2/60*100% = 3.33% (3 sf)

Answer:

#1

1 m = 100 cm

3 m = 3 × 100 = 300 cm

Depth of one box = 300/15 = 20 cm

#2

Percentage error = Error/Real measure × 100

(62 - 60)/60 × 100

2/3 × 5

10/3

3(in significant figures)