A spy track a stolen car going 5 km North of the parking lot it was stolen from. The car then turned right and went 10 km, and then turned left and went 3 km. Finally, It travelled 5 km eastward and then stopped. How far is the car (approximately) from the car parking and in what direction?
Ops: A. 20 km, North-West
B. 17 km, North-East
C. 15 km, North-East
D. 19 km, South-East
Answers
B. 17 km, North-East
Given:
A spy track a stolen car going 5 km North of the parking lot it was stolen from. The car then turned right and went 10 km, and then turned left and went 3 km. Finally, It travelled 5 km eastward and then stopped.
To find:
How far is the car (approximately) from the car parking and in what direction?
Solution:
To find the distance, we have to use the Pythagoras theorem
Distance travelled by car in north direction = 5 + 3= 8km
Distance travelled by car in east direction = 10 + 5 = 15 km
We have to find the length of hypotenuse where the other two distances are height and base.
Distance travelled by car in east direction² + Distance travelled by car in north direction² = Distance travelled by car²
15² + 8² = Distance travelled by car²
225 + 64 = Distance travelled by car²
Distance travelled by car² = 289
Distance travelled by car = √289
Distance travelled by car = 17cm
Hence, the car is 17 km North - East from the parking lot.
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