#### Question

An ant travels a distance of 8 cm from P to Q and then moves a distance of 6 cm at right angles to PQ. Find its resultant displacement.

#### Solution

We have to find the resultant displacement from the given diagram :

We have:

PQ = 8 cm and QR = 6 cm

Resultant displacement :

`PR = sqrt(PQ^2 + QR^2)`

= `sqrt(64+36)`

= `sqrt(100)`

= 10 cm

The direction of this displacement is from P to R. If θ is the angle made by PR with PQ then,'

`tan θ = "RQ"/"PQ"`

⇒ `tan θ = 36/64`

⇒ `θ = tan^-1 0.5625`

⇒ `θ = 29.36^circ`

This is the angle made by the resultant with PQ .

Is there an error in this question or solution?

Solution An Ant Travels a Distance of 8 Cm from P to Q and Then Moves a Distance of 6 Cm at Right Angles to Pq. Find Its Resultant Displacement. Concept: Distance and Displacement.