Posted by **Anonymous** on Tuesday, February 26, 2008 at 6:02pm.

A small boat is crossing a river which flows at 10km.h. The driver of the boat keeps it heading directly (at 90) away from the bank at a speed of 24 km/h relative to the water. The river is 0.5 km wide.

I calculated the speed of the boat relative to land - 26km/h

I calculated the direction the boat is actually traveling - 67* from bank

I calculated the time to get to the opposite bank - 1.25min

How far downstream will the boat drift before reaching the opposite bank?

How do I calculate that. ^

- Physics -
**Damon**, Tuesday, February 26, 2008 at 6:18pm
Yes, 5, 12 13 is a right triangle like 345 so you know without your calculator that 10^2 + 24^2 = 26^2

tan A = 10/24

so

A = 22.6 from straight across so 67.4 from the bank

time = .5/24 = .02083 hr = 1.25 min.

speed downstream = 10 km/hr

time under way = .02083 hr

distance = .2083 km

## Answer this Question

## Related Questions

- physics - A boat moving at 15 km/h relative to water is crossing a river 1.5 km ...
- Physics - A boat moving at 15 km/h relative to water is crossing a river 1.5 km ...
- Physics - A boat travelling at 30km/hr relative to water is headed away from the...
- Physics - A boat is to be driven from a point on the South bank of a river which...
- Physics - A boat travelling at 30km/h relative to water is headed away from the ...
- Physics - A current of a river flows steadily from west to east at 1.00 m/s. A ...
- physics - A 200-m-wide river flows due east at a uniform speed of 2.0 m/s. A ...
- Physics - A boat travelling at 30km/h relative to water is headed away from the ...
- Physics - A boat sets off perpendicular to the bank, to cross a river width of ...
- science - a boat heading due north crosses a wide river with speed of 12km/h ...

More Related Questions