To reduce the slope distance (S) to an equivalent horizontal distance (H) as shown in the figure given below, the following independent observations were taken. $S = 29.95 m ± 0.01 m; \theta = 4°30' ± 10' $ The required precision of computed horizontal distance is ± 0.005 m. Assume a "balanced accuracy" where the contribution to precision of the horizontal distance comes equally from the slope distance and angle measurements. The minimum number of angle observations to achieve the desired precision is (Given 1 radian = 206265 seconds)

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To reduce the slope distance (S) to an equivalent horizontal distance (H) as shown in the figure given below, the following independent observations were taken. $S = 29.95 m ± 0.01 m; \theta = 4°30' ± 10' $ The required precision of computed horizontal distance is ± 0.005 m. Assume a "balanced accuracy" where the contribution to precision of the horizontal distance comes equally from the slope distance and angle measurements. The minimum number of angle observations to achieve the desired precision is  (Given 1 radian = 206265 seconds)

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The correct answer is (D) : 4

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The Correct Option is D

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