Question

What is the value of x?B2615сО 35 234О 54 766О29 982

Answer 1

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

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

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