Church tower

Archdeacon church in Usti nad Labem has diverted the tower by 186 cm. The tower is 65 m high. Calculate the angle by which the tower is tilted. Results are written in degree minutes.

Correct answer:

α =  1.6398 °
α2 =  98.4 min

Step-by-step explanation:

$$\begin{gathered} h=65\text{m} \\ a=186\text{cm}\to \text{m}=186:100\text{m}=1.86\text{m} \\ \sin \alpha =a:h=\frac{a}{h} \\ {\alpha }_1=\arcsin (a/h)=\arcsin (1.86/65)\doteq 0.0286\text{rad} \\ \alpha ={\alpha }_1\to \text{°}={\alpha }_1\cdot \frac{180}{\pi }\text{°}=0.0286\cdot \frac{180}{\pi }\text{°}=1.6398\text{°}=1.6398^{\circ }=1°38^{\prime }23" \end{gathered}$$

${\alpha }_2=60\cdot \alpha =60\cdot 1.6398=98.4\text{min}$

Try another example