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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 byA. `tan^(2) theta=tan^(2) theta_(1)+tan^(2) theta_(2)`B. `cot^(2) theta=cot^(2) theta_(1)-cot^(2) theta_(2)`C. `tan^(2) theta=tan^(2) theta_(1)-tan^(2) theta_(2)`D. `cot^(2) theta=cot^(2) theta_(1)+cot^(2) theta_(2)` |
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Answer» Correct Answer - D `tantheta_(1)=(tantheta)/(cos alpha)` `implies tan theta_(2)=(tantheta)/(cos(90-alpha))=(tantheta)/(sin alpha)` `implies sin^(2) alpha+cos^(2) alpha=1` `implies cot^(2) theta_(2)+cot^(2)theta_(1)=cot^(2) theta` |
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