Two cyclists leave the corner of State Street and Main Street simultaneously. State Street and Main Street are not at right angles; the cyclists' paths have an angle of 30° between them. How far apart are the cyclists after they each travel 5 miles? The answers below are given in miles. Hint: Use the Law of Cosines

2.5882miles

Step-by-step explanation:

-The cyclists keeps a constant angle between them thus forming a virtual isosceles triangle with equal base angles corresponding to their individual 5 mile distances.

-We apply law of Cosines:

#The isosceles base angles are:

The distance between them is thus calculated as:

Hence, the distance between them is 2.5882miles

range is infinite on both x and y axis positive and negative

step-by-step explanation:

ok then what happened.