Using a two-way radio, Melissa can talk to anyone within an 8-mi radius of her location. Oscar is 30° west of south of Melissa's location. What is Oscar's exact location, relative to Melissa's location, at the greatest distance where they can talk using two-way radios?

Using a twoway radio Melissa can talk to anyone within an 8mi radius of her location Oscar is 30 west of south of Melissas location What is Oscars exact locatio class=

Respuesta :

Answer:

(-4, -4√3)

I guess and got it right, yw.

By using a change from polar to rectangular coordinates, we will see that Oscar's location is (-6.93mi, -4 mi).

How to get Oscar's exact location?

In polar coordinates, we can see that Oscar 'slocation is defined by a radius of 8 miles and by an angle of 210° (we use 210° because we measure the angle from the positive x-axis).

Now, if we know the radius and the angle, the rectangular coordinates are just:

x = R*cos(angle)

y = R*sin(angle).

In this case, we will have:

x = 8mi*cos(210°) = -6.93mi

y = 8mi*sin(210°) = -4 mi

So, Oscar's exact position is (-6.93mi, -4 mi).

If you want to learn more about polar coordinates, you can read:

https://brainly.com/question/14965899