Question

The width of a river is 23km. A boat is
rowed in a direction perpendicular to the
banks of river. If the drift of the boat due
to flow in 2km. The displacement of the
boat is__(km)​

Answer 1

Given that,

Width of river = 2√3 km

If the drift of the boat due to flow is 2 km.

Let the displacement is AC.

According to question,

If AB is width of river and the drift of the boat due to flow is BC.

We need to calculate the displacement of the boat

Using formula of displacement

AC=\sqrt{AB^2+BC^2}AC=

AB

2

+BC

2

Put the value into the formula

AC=\sqrt{(2\sqrt{3})^2+(2)^2}AC=

(2

3

)

2

+(2)

2

AC=4\ kmAC=4 km

Hence, The displacement of the boat is 4 km.

(4) is correct option.