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Application of Similarity

A theodolite ...

Question

A theodolite is set up at station A. The RL of instrument axis is 212.250 m. The angle of elevation to the top of a 4 m long staff , held vertical at station B, is $7^{\circ}$ . The horizontal distance between station A and B is 400 m. Neglecting the errors due to curvature of earth and refraction , the RL ( in m , round of to three decimal places ) of station B is
257.364

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Solution

The correct option is A 257.364

R.L. of B = 212.250 + 400 tan $7^{\circ}$ - 4

= 257.364 mm

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