If `theta_1` and `theta_2` be the apparent angles of dip observed in two vertical planes at right angles to each other, then show that the true angle of dip, `theta` is given by `cot^2theta=cot^2theta+cot^2theta`.
A
`cos^(2)phi=cos^(2)phi_(1)+cos^(2)phi_(2)`
B
`sec^(2)phi=sec^(2)phi_(1)+sec^(2)phi_(2)`
C
`tan^(2)phi=tan^(2)phi_(1)+tan^(2)phi_(2)`
D
`cot^(2)phi=cot^(2)phi_(1)+cot^(2)phi_(2)`
Text Solution
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The correct Answer is:
D
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If theta_1 and theta_2 be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip theta is given by
If phi_(1) and phi_(2) be the apparent angles of dip observed in two vertical planes at right angles to each other , then show that the true angle of dip phi is given by cot^(2) phi = cot^(2) phi_(1) + cot^(2) phi_(2) .