The distance of the plane from its original location is 69.46 km
The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Formula of Pythagoras theorem
Hypotenuse² = Perpendicular² + Base²
According to the question
A plane flies 35 km in the direction N 30° W,
and then flies 60 km in the direction N 60° E
i.e
When we plot its figure
we will observe it will form a right angled triangle
with perpendicular = 35 km , Base = 60 km
and Hypotenuse = distance form original location to current location
Now,
By using the formula of Pythagoras theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse² = 35² + 60²
Hypotenuse² = 4825
Hypotenuse = 69.46 km
Hence, the distance of the plane from its original location is 69.46 km.
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