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.
We have to find the resultant displacement from the given diagram :
PQ = 8 cm and QR = 6 cm
Resultant displacement :
`PR = sqrt(PQ^2 + QR^2)`
= 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 .
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