Respuesta :

Let's begin by listing out the given information:

This is a right triangle. It has 2 known sides & one unknown angle

To find the unknown angle, we will use the Trigonometric Ratio (SOHCAHTOA). In this case, we will use SOH

[tex]\begin{gathered} SOH\Rightarrow sin(x^{\circ})=\frac{opposite}{hypotenuse} \\ opposite,BC=15 \\ hypotenuse,AB=26 \\ x=\text{?} \\ sin(x^{\circ})=\frac{15}{26}=0.5769 \\ x^{\circ}=sin^{-1}(0.57692) \\ x^{\circ}=35.234^{\circ} \\ \end{gathered}[/tex]

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