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
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
