SOLUTION: Hello!
I need help solving this please:
A biologist wants to know the width w of a river so that instruments for studying the pollutants in the water can be set properly. From
Algebra ->
Trigonometry-basics
-> SOLUTION: Hello!
I need help solving this please:
A biologist wants to know the width w of a river so that instruments for studying the pollutants in the water can be set properly. From
Log On
Question 978217: Hello!
I need help solving this please:
A biologist wants to know the width w of a river so that instruments for studying the pollutants in the water can be set properly. From point A, the biologist walks downstream 100 feet and sights to point C (see figure). From this sighting, it is determined that θ = 59°. How wide is the river?
Please explain each step.
Thank you Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Use the Law of Sines
a/sin a = c/sin c
There is a right triangle with the downstream leg 100 feet and angle to C 59 degrees.
sin 59/C is width of river
sin 31/A is 100 feet.
This is a right triangle
sin 31/100=sin 59/x
0.5150/100=0.8572/width.
Cross-multiply
0.5150* width=85.72
width=85.72/0.5150 = 166.45 feet.
