Erica is participating in a road race. the first part of the race is on a 5.2-mile-long straight road oriented at an angle of 25∘ north of east. the road then turns due north for another 5.0 mi to the finish line.
in miles, what is the straight-line distance from the starting point to the end of the race?

8.6 miles

Explanation:

We need to calculate the components of the total displacement along the east-west and north-south directions first.

In the first part, Erica moves 5.2 miles at 25∘ north of east. So the components of this displacement along the two directions are:

East:

North:

In the second part, Erica moves 5.0 miles north. So, the components of this displacement are:

East:

North:

So the components of the total displacement are

East:

North:

Therefore the magnitude of the displacement, which is the straight-line distance from the starting point to the end of the race, is

talk back to him about the sport and show him your expertise or leave the room

pretty sure it's false