a car travels from the airport 14 miles east and 7 miles north to its destination. What direction should a helicopter fly from the airport to reach the same destination, traveling in a straight line?
To reach the same destination in a straight line, the helicopter should fly diagonally in a straight line, covering a distance of 14 miles east and 7 miles north. This creates a right-angled triangle with the hypotenuse as the straight line path between the airport and the destination.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse:
hypotenuse^2 = (14 miles)^2 + (7 miles)^2
hypotenuse^2 = 196 + 49
hypotenuse^2 = 245
Taking the square root of both sides, we find:
hypotenuse ≈ √245
hypotenuse ≈ 15.62 miles
Therefore, the helicopter should fly approximately 15.62 miles in a straight line to reach the same destination, in a direction that is a mix of east and north.