At a place, the horizontal and vertical intensities of earth’s magnetic field is 0.30 gauss and 0.173 gauss, respectively. The angle of dip (in degrees) at this place is

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Solution

angle of dip
Let, $ϕ$ be the angle of dip.

$ϕ$ = angle of dip
$B_{H}$ = horizontal component of earth's field
$B_{V}$ = vertical component of earth's field

$tan ϕ = \frac{B_{V}}{B_{H}}$

$= \frac{0.173 g a u s s}{0.30 g a u s s}$

$\frac{\sqrt{3}}{3}$

$tan ϕ = \frac{1}{\sqrt{3}}$

$ϕ = 30^{\circ}$

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