By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (this angle is also known as "Right angle").
You can identify that the triangle given in the exercise is a Right triangle.
In order to find the value of "x", you need to use the following Trigonometric function "Cosine":
[tex]\cos \alpha=\frac{adjacent}{hypotenuse}[/tex]
Because, in this case, you can identify that the side whose length is 19, is adjacent (or next to) to the angle 51°, and the hypotenuse (the longest side of the triangle) is the lenght of the side you must find.
Then, you can determine that:
[tex]\begin{gathered} \alpha=51\degree \\ adjacent=19 \\ hypotenuse=x \end{gathered}[/tex]
Substituting values:
[tex]\cos (51\degree)=\frac{19}{x}[/tex]
2. Solving for "x", you get:
[tex]\begin{gathered} x\cdot\cos (51\degree)=19 \\ \\ x=\frac{9}{\cos (51\degree)} \\ \\ x=14.30 \end{gathered}[/tex]
The answers are:
1. Co
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Ok, and do you need to find the value of "x"?
