NEET | 2017Physics miscellaneousHard

Question

If θ1 and θ2 be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip θ is given by :-

Options

A.

tan2θ = tan2θ1+tan2θ2

B.

cot2θ=cot2θ1-cot2θ2

C.

tan2θ=tan2θ1-tan2θ2

D.

cot2θ=cot2θ1+cot2θ2

Solution

tanθ1=tanθcos α
⇒  tanθ2=tanθcos(90-α)=tanθsin α
⇒ sin2α + cos2α = 1
⇒  cot2θ2 + cot2θ1 = cot2θ

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