Question

You are 200 yards from a river. Rather than walking directly to the river, you walk 400 yards along a straight path to the river's edge. What is the acute angle between path and the rivers edge?

Answer 1

`60^circ`

Explanation:

Consider the diagram:

We want to find `x^circ`:

`Adjacent` `o` `f` `x` `=200=a`
`Hypoten` `use=400=h`

We can use the `cos` function which is `a/h`

`rarrcos(x)=200/400`

`rarrcos(x)=1/2`

`rarrx=cos^-1(1/2)=60^circ`

So,the acute angle is `60^circ`