The figure shows a 1300-yard-long sand beach and an oil platform in the ocean. The angle made with the platform from one end of the beach is 84degrees and from the other end is 77degrees. Find the distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.

The platform is about how many yards from one end of the beach and how many yards from the other?

true

step-by-step explanation:

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

your answer is  

d.

196.5 m2

step-by-step explanation:

answer is

b.

11

hope you get this one right.