Uncategorized: Practice Problem & Solution
11. 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: (2017-Delhi)
Solution Explained:
To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:
In two mutually perpendicular planes, $tantheta_1 = frac{tantheta}{cosalpha}$ and $tantheta_2 = frac{tantheta}{sinalpha}$. Using the identity $cos^2alpha + sin^2alpha = 1$, we obtain $cot^2theta = cot^2theta_1 + cot^2theta_2$.
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