Question

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Answer 1

The measure of the angle R is $m \angle R=69.4$

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.

$\tan \theta=\frac{o p p}{a d j}$

where opp = 8 and adj = 3

Thus, substituting these values in the formula, we get,

$\tan \theta=\frac{8}{3}$

Multiplying both sides by $tan^{-1}$, we get,

$\theta=tan^{-1} (\frac{8}{3})$

Dividing, we get,

$\theta=69.44$

Rounding off to the nearest tenth, we have,

$\theta=69.4$

Thus, the measure of the angle R is $m \angle R=69.4$