The measure of the angle R is [tex]m \angle R=69.4[/tex]
Explanation:
It is given that the lengths of the triangle are PQ = 8 and QR = 3
To find the angle of R using the opposite and adjacent side, we shall use the tangent formula.
[tex]\tan \theta=\frac{o p p}{a d j}[/tex]
where opp = 8 and adj = 3
Thus, substituting these values in the formula, we get,
[tex]\tan \theta=\frac{8}{3}[/tex]
Multiplying both sides by [tex]tan^{-1}[/tex], we get,
[tex]\theta=tan^{-1} (\frac{8}{3})[/tex]
Dividing, we get,
[tex]\theta=69.44[/tex]
Rounding off to the nearest tenth, we have,
[tex]\theta=69.4[/tex]
Thus, the measure of the angle R is [tex]m \angle R=69.4[/tex]
