Chapter 8.6, Problem 20WE

To determine

To find: the value of $PA$ .

Answer to Problem 20WE

The length of $PA$ is 7cm long.

Explanation of Solution

Given Information:

In $\Delta PAL$ , $m\angle A=90°,m\angle L=24°$ and median $\overline{AM}$ is 6 cm long.

Calculation:

Apply the Sine formula in the right angle triangle.

  $\begin{array}{c}SinC=\frac{6}{AB}\\ Sin66°=\frac{6}{PA}\\ PA=\frac{6}{0.913}\\ \approx 7\end{array}$

Therefore, the length of $PA$ is 7cm long.