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?

Respuesta :

Answer:

4 mi west, 4√3 mi south

Step-by-step explanation:

The horizontal distance is:

x = (8 mi) (sin 30Ëš)

x = 4 mi west

The vertical distance is:

y = (8 mi) (cos 30Ëš)

y = 4√3 mi south

Lanuel

Oscar’s exact location with respect to Melissa’s location, at the greatest distance where they can talk is given by this ordered pair -4 and -4√3.

How to determine Oscar’s exact location?

In geometry, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these mathematical equations:

x = rcosθ    .......equation 1.

y = rsinθ      .......equation 2.

From the polar coordinates, we can deduce that Oscar's location is at an angle of 210 degrees and defined by a radius of 8 miles. Thus, Oscar's exact location at the greatest distance where they can talk is given by:

On the vertical plane:

y = rsinθ

y = 8sin210

y = -4.

On the horizontal plane:

x = rcosθ

x = 8cos(210)

x = -4√3.

Read more on polar coordinates here: https://brainly.com/question/2193539

Ver imagen Lanuel