Posted by Ansley on Sunday, December 19, 2010 at 7:46pm.
Points A and B are 150 m apart on one bank of a river. Point C is on the other bank of the river. The line of sight distance from A to C forms an angle and 28 degrees with the AB side of the river bank and the line of sight distance form B to C forms an angle of 56 degrees with the AB side of the river bank. How wide is the river?

trig  bobpursley, Sunday, December 19, 2010 at 8:04pm
You have ASA. Solve the triangle. (getting the two other sides, law of sines).
Now, area of the triangle= sqrt(s(sa)(sb)(sc)) where s is the halfperimeter (this is known as Heron of Alexandria's formula).
Now set it equal to 1/2 Base*height,or
area= 1/2 (150)width river
setting the two areas equal, you can find the width of the river
Answer This Question
Related Questions
 Pre Calc  From 2 points 400 yards apart on the bank of a straight river flowing...
 Trigonometry  4. An observer is near a river and wants to calculate the ...
 Math  A river flows at the speed of v from west to east. How should a man who ...
 Math  A river flows at the speed of v from west to east. How should a man who ...
 physics  A 410mwide river has a uniform flow speed of 2.0 m/s through a ...
 math  A girl swims across a river. When she swims in still water, she swims at ...
 trigonometry  A line AB, 125 feet long, is measured along the sraight bank of a...
 math  a boy travels in a boat at an angle of 20 degrees to the river bank.if he...
 Physics  A 400.0mwide river flows from west to east at 30.0 m/min. Your boat ...
 physics  A 400.0mwide river flows from west to east at 30.0 m/min. Your boat ...
More Related Questions