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 135° between them. how far apart are the cyclists after they each travel 3 miles? the answers below are given in miles. hint: use the law of cosines

5.54 miles ( with the assumption both cyclist possess the same acceleration )

Explanation:

Let a= distance between the cyclists

b= distance travelled by state street cycler

c = distance travelled by main street cycler

From the question b=c

Using cosine rule

a^2= b^2+c^2- 2*b*c *cos(135°)

a^2= 30.72

a= sqrt(30.72)

a= 5.54miles

answer; all of the answers are correct;