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?

Question

Mathematics

Jamarion Sampson

Today, 00:43

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?

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Answers (1)

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Thunder Thighs · Answer 1

4 mi west, 4√3 mi south

Step-by-step explanation:

The horizontal distance is:

x = (8 mi) (sin 30˚)

x = 4 mi west

The vertical distance is:

y = (8 mi) (cos 30˚)

y = 4√3 mi south