1 Answer

Tomas Narros · Answer 1 · 2023-07-24T20:55:05+0000

TO FIND X

We can use the Cosine Trig Ratio to evaluate the value of x given to be:

$\cos\theta=(adj)/(hyp)$

From the triangle, we have the following parameters:

$\begin{gathered} \theta=x \\ adj=PR=63 \\ hyp=NR=87 \end{gathered}$

Therefore, the angle can be calculated as follows:

$\begin{gathered} \cos x=(63)/(87) \\ x=\arccos((63)/(87)) \\ x=43.6\degree \end{gathered}$

To the nearest whole number, the value of x is 44 degrees.

TO FIND Y

The value of y can be calculated using the sum of angles in a triangle, give =n to 180 degrees.

Therefore, the missing angle can be calculated to be:

$\begin{gathered} 90+x+y=180 \\ 90+44+y=180 \\ y=180-44-90 \\ y=46\degree \end{gathered}$

The value of y is 46 degrees.

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