Question

During take off, a plane leaves the ground and travels in a straight line until it reaches a height of 10 km. The distance the plane flies during take off should be in the range 57 km to 62 km. What is the smallest possible angle that the path of the plane could make with the ground? Give your answer in degrees to 1 d. p.​

Answer 1

The smallest possible angle that the path of the plane could make with the ground during takeoff is approximately 9.48 degrees.

Step-by-step explanation:

To find the smallest possible angle that the path of the plane could make with the ground, we can divide the vertical displacement by the horizontal displacement.

The vertical displacement is the height the plane reaches, which is 10 km. The horizontal displacement is the range of the plane, which is between 57 km to 62 km.

The smallest possible angle can be found by dividing the vertical displacement by the maximum range (62 km).

So, the smallest possible angle is equal to the inverse tangent of (10/62). Using a calculator, this angle is approximately 9.48 degrees.