Church tower

Archdeacon church in Usti nad Labem has diverted tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Result write in degree's minutes.

Correct result:

α =  98.4 '

Solution:

$\sin \alpha = \dfrac{1.86}{65} \ \\ \alpha = \arcsin \dfrac{1.86}{65} \ \\ \alpha = \arcsin 0.0286153846154 \ \\ \alpha = 1^\circ 38'23" \ \\ \alpha = 98.4 \ ' \ \\$

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