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?

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

now we can use the equation

now we can substitute all values in it

so the distance is 45836.6 miles

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .