Posted by **tabeershah** on Saturday, March 1, 2014 at 12:57am.

suppose that we are standing on a bridge 30 feet above a river watching a log (piece of wood) floating toward we. If the angle with the horizontal to the front of the log is 16.7 degree and angle with horizontal to the back of the log is 14 degree, how long is the log?

- math -
**Steve**, Saturday, March 1, 2014 at 5:46am
if the front of the log is x feet from the bridge, and y is the length of the log, then

30/x = tan 16.7°

30/(x+y) = tan 14°

eliminate x:

30/tan 16.7° = 30/tan 14° - y

Now solve for y:

y = 30(cot 14° - cot 16.7°)

## Answer This Question

## Related Questions

- math - suppose that we are standing on a bridge 30 feet above a river watching a...
- physics - A log is floating on swiftly moving water. A stone is dropped from ...
- math - Logarithm!!! Select all of the following that are true statements: (a) ...
- Math Help Please - Which of the following expressions is equal to log (x sqrt-y...
- Honors Physics - A lumberjack (mass = 98 kg) is standing at rest on one end of ...
- Precaculculus - Suppose you are told that log(2)=0.3562 and log(3)=0.5646. All ...
- Physics - A lumberjack (mass = 98 kg) is standing at rest on one end of a ...
- physics - A lumberjack (mass = 98 kg) is standing at rest on one end of a ...
- Physics - A lumberjack (mass = 98 kg) is standing at rest on one end of a ...
- physics - A lumberjack (mass = 98 kg) is standing at rest on one end of a ...

More Related Questions