$B_H$ $=$ Horizontal component of earth's magnetic field; $B_V$ $=$ Vertical component of earth's magnetic field and $B =$ Total intensity of earth's magnetic field
We know that $B_{h}=B \cos \delta$
where $B$ is the earth's total magnetic field and $\delta$ is the angle of dip.
Also, $B_{v}=B \sin \delta$
$\Longrightarrow B^{2}=B_{h}^{2}+B_{v}^{2}$
$\Longrightarrow B=\sqrt{B_{h}^{2}+B_{v}^{2}}$
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