An angle

An angle x is opposite side AB which is 10, and side AC is 15 which is hypotenuse side in triangle ABC. Calculate angle x.

Correct answer:

x =  41.8103 °

Step-by-step explanation:

$$\begin{gathered} a=10 \\ c=15 \\ \sin x=a\mathrm{/}c \\ x={\displaystyle \frac{180^{\circ }}{\pi }}\cdot \arcsin (a\mathrm{/}c)={\displaystyle \frac{180^{\circ }}{\pi }}\cdot \arcsin (10\mathrm{/}15)=41.8103^{\circ }=41^{\circ }48^{\mathrm{\prime }}37\mathrm{"} \end{gathered}$$

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