Question

A roadway rises 55ft in horizontal distance of 1/2 mile. Find the tangent of the angel that makes the horizontal 1mi=5280ft?

Answer 1

Tangent of the angel that makes the horizontal is `1/48`.

Explanation:

As roadway rises `55` feet in a horizontal distance of `1/2` mile, which is equal to `1/2xx5280=2640` feet,

The tangent of the angle that makes the horizontal is

`("Opposite Side")/("Adjacent Side")` i.e. `55/2640`

= `cancel55^5/cancel2640^240` (dividing by `11`)

= `cancel5^1/cancel240^48` (dividing by `5`)

= `1/48`