Question

You observe a meteor from two different locations A & B that are 8000 miles apart. The difference in viewing angles is 10 degrees. How far away is the meteor?

Answer 1

here distance between two meteor is considered to be in straight arc of distance

d = 8000 miles

angle subtended at our position is given as

`\theta = 10 degree`

`\theta = 10 * (\pi)/(180) = (\pi)/(18)`

now we can use the equation

`angle = (arc)/(distance)`

now we can substitute all values in it

`(\pi)/(18) = (8000)/(d)`

`distance = 45836.6 miles`

so the distance is 45836.6 miles