SOLUTION: I'm honestly not sure which category this question falls under, but here it is To determine the distance to an oil platform in the Pacific Ocean from both ends of a beach, a sur

Question 56270This question is from textbook
: I'm honestly not sure which category this question falls under, but here it is
To determine the distance to an oil platform in the Pacific Ocean from both ends of a beach, a surveyor measures the angle to the platform from each end of the beach. The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees. If the beach is 950 yards long, what are the distances to the oil platform from both ends of the beach? This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
To determine the distance to an oil platform in the Pacific Ocean from both ends of a beach, a surveyor measures the angle to the platform from each end of the beach. The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees. If the beach is 950 yards long, what are the distances to the oil platform from both ends of the beach?
:
The Law of sines would be useful here, angle/side/angle:
= =
:
B = 83, C = 78.6, All triangles total 180 degrees:
A = 180 - 83 - 78.6 = 18.4
Given side a = 950 yds, they want us to find sides b & c.
:
Find b:
=
:
=
:
Cross mult:
.31565b = 950*.992546
.31565b = 942.9
b = 942.9/.31565
b = 2987 yds
:
Find c:
=
:
=
:
Cross mult:
.31565c = 950*.98027
.31565c = 931.6
c = 931.6/.31565
c = 2950yds
:
Anyway that's the method, check my figures, it's getting late for me.

RELATED QUESTIONS
I'm not sure what category this falls under, but it is an 11th grade algebra 2 problem.... (answered by ikleyn)

I'm not exactly sure what this category this falls under, but I need to find the vertex... (answered by lynnlo)

I need help with this problem. I am not sure if this problem falls under the category I... (answered by whisper)

I'm not sure if this question falls under the graph section, but here's the question:... (answered by MathLover1)

i am not sure what category to put this under, but what is the derivative of 10x -... (answered by KMST)

I am not sure if this under the right category but here is the question.. The Mars Rover (answered by Edwin McCravy)

Hello, I'm not sure if I have this question posted under the right category but can... (answered by Alan3354)

I'm not quite sure what kind of category this question would fall under, but here it... (answered by Alan3354,ikleyn)

Hello, I am not really sure where to put this question...what topic it would fall... (answered by nerdybill,edjones)