Chapter 9.7, Problem 1C

To determine

Tofind: $\tan Q$

Answer to Problem 1C

  $\tan Q=\frac{36}{77}$

Explanation of Solution

Given information:

Concept Used:

In a right-angled triangle ABC, tangent for acute angle $\angle A$ is the ratio of length of side opposite to angle $\angle A$ to the length of side adjacent to $\angle A$

Calculation:

Basis definition we can say-

  $\begin{array}{l}\tan Q=\frac{opposite}{adjacent}\\ \Rightarrow \tan Q=\frac{PR}{QR}\\ \Rightarrow \tan Q=\frac{36}{77}\end{array}$