Question

ZOOM CALCULATOR COLOR THEME 7. Find the value of x. 19 25° X

Answer 1

Let's begin by identifying key information given to us:

We have one known angle, one known side & one unknown side

As such, we will use Trigonometric Ratio (SOHCAHTOA) to solve

Angle = 25 degrees, adjacent = 19, hypotenuse = x

In this case, we will use CAH as shown below:

`\begin{gathered} CAH\Rightarrow cos\theta=(adjacent)/(hypotenuse) \\ cos\theta=(adjacent)/(hypotenuse) \\ cos25^(\circ)^{}=(19)/(x) \\ x\cdot cos25^(\circ)=19 \\ x=(19)/(cos25^(\circ))=(19)/(0.906) \\ x=20.97\approx21 \\ x=21 \end{gathered}`