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:

$$\begin{gathered} \sin \alpha ={\displaystyle \frac{1.86}{65}} \\ \alpha =\arcsin {\displaystyle \frac{1.86}{65}} \\ \alpha =\arcsin 0.0286153846154 \\ \alpha =1^{\circ }38^{\mathrm{\prime }}23\mathrm{"} \\ \alpha =98.4{}^{\mathrm{\prime }} \end{gathered}$$

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