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.

Result

x =  41.81 °

Solution:

a=10 c=15  sin⁡x=a/c  x=180∘π⋅arcsin⁡(a/c)=180∘π⋅arcsin⁡(10/15)≐41.8103≐41.81∘≐41∘48′37"a=10 \ \\ c=15 \ \\ \ \\ \sin x=a/c \ \\ \ \\ x=\dfrac{ 180^\circ }{ \pi } \cdot \arcsin(a/c)=\dfrac{ 180^\circ }{ \pi } \cdot \arcsin(10/15) \doteq 41.8103 \doteq 41.81 ^\circ \doteq 41^\circ 48'37"

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