Question

find the tangent of ∠r. simplify your answer and write it as a proper fraction, improper fraction, or whole number. tan(r) =

Explanation:

Step1: Recall tangent definition

For an acute angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\angle R$

Opposite side to $\angle R$: $PQ = 56$; Adjacent side to $\angle R$: $PR = 33$

Step3: Calculate $\tan(R)$

$\tan(R) = \frac{56}{33}$

Answer:

$\frac{56}{33}$