Question

Help with Law of Sines and Cosines

Answer 1

The figure shows a 1200-yard-long beach and an oil platform in the ocean. The angle made with the platform from one end of the beach is 85° and from the other end is 76°. Find the distance of the oil platform, to the nearest yard, from the east end of the beach.

Answer 2

Okay, so your first step would be to find the angle opposite the side that is 1200 yds long. You have the measure of the other two angles. So what's the last angle?

Answer 3

180-85-76=19 degres

Answer 4

So we are trying to find the right leg if I am correct?

Answer 5

Yes, we are.

Answer 6

so we can use law of sines from here

Answer 7

Correct.

Answer 8

do you know it?

Answer 9

\[\frac{ 1200 }{ \sin19 }=\frac{ n }{ \sin85 }\]

Answer 10

?

Answer 11

because the graph is saying

Answer 12

Correct.

Answer 13

now just solve for n