Mathematics
Grade9
Easy

Question

An airplane flies 56 miles due north and then 33 miles due east. Calculate the miles is the plane from its starting point.

  1. 65 miles
  2. 89 miles
  3. 45.4 miles
  4. 10 miles

hintHint:

According to the question the triangle formed by the distance covered to north, distance covered to East and the distance between starting point and end point is right angled triangle. As the angle formed by turning from to east is 90 degree. So, we get, hypotenuse, the distance between starting and end point assuming to be h , base, distance covered to north 56 miles and perpendicular, the distance covered to east is 33 miles. Further using Pythagoras theorem we can find the length of the required side  of the triangle formed.

The correct answer is: 65 miles


    According to the question the triangle formed by the distance covered to north, distance covered to East and the distance between starting point and end point is right angled triangle.
    So, hypotenuse, the distance between starting and end point = h
    base,  distance covered to north = 56 miles
    perpendicular, the distance covered to east = 33 miles
    Now using Pythagoras theorem,
    h squared equals p squared plus b squared
h squared equals 33 squared plus 56 squared
space space space space equals 1089 plus 3136
space space space space equals 4225
p space equals square root of 4225
space space space equals 65 space m i l e s
    The distance between starting and end point is 65 miles.

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