Question

a group of students were in a disagreement about how to solve for x in the figure. Which method could be used to solve x?41⁰ and 35 yds

Answer 1

The value of x is approximately 23

Here, we want to give the method that can be used to get x

From the diagram given, we can see that x faces the angle given and also, the other side given is the one facing the right angle. This side is called the hypotenuse

So, we have to use the trigonometric ratio that can link the hypotenuse and opposite

The trigonometric identity to use is the sine

Mathematically, the sine is the ratio of the opposite to the hypotenuse

Thus, we have it that ;

`\begin{gathered} \sin \text{ 41 = }(x)/(35) \\ \\ x\text{ = 35}*\text{ sin 41 = 22.96} \end{gathered}`