SOLUTION: Two cabins, A and C are located 450m apart on the bank of a river. Across the river from the two cabins is a boathouse at B. Use the information in the diagram to calculate the w

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Question 143594This question is from textbook Principles of Math
: Two cabins, A and C are located 450m apart on the bank of a river. Across the river from the two cabins is a boathouse at B. Use the information in the diagram to calculate the width of the river. Angle CAB is 70 degrees. Angle BCA is 30 degrees.
This question is from textbook Principles of Math

Answer by vleith(2517) (Show Source):
You can put this solution on YOUR website!
See this --> http://en.wikipedia.org/wiki/Law_of_sines
Use the law of sines.
You are given 2 angles, so you can find the third angle (180 - (70+30) )
Now use law of sines to find the distance AB or AC
Once you have AB or AC, use sin and that length to find the width of the river.