Question

The earth’s radius is about 4000 miles. Kampala, the capital of Uganda, and Singapore are both nearly on the equator. The distance between them is 5000 miles. a. Through what angle do you turn, relative to the earth, if you fly from Kampala to Singapore

Answer 1

71.6°

Step-by-step explanation:

We need to use a expression that allow us calculate the angle subtended by an arc of circle at the center of this circle.

The theory say that,
`\theta=(L)/(r)`

Where L is the distance between the two points and r the ratio from the circunference.

`\theta = (5000)/(4000)`

`\theta = 1.25rad`

We can also convert this number to degree.

`\theta = 1.25*((360)/(2\pi))`

`\theta = 71.6\°`