Chapter 14.3, Problem 13PSB

a.

To determine

To find the length of PA.

Answer to Problem 13PSB

  $PA=9\sqrt{3}$

Explanation of Solution

Given:

The triangle is PLO as follows-

  

Calculation:

The lengthof PA of the triangle PLO can be found as follows-

  

  $PA=9\sqrt{3}$

b.

To determine

To find the area of triangle PLO.

Answer to Problem 13PSB

  $ar(△PLO)=162\sqrt{3}$

Explanation of Solution

Given:

The triangle is PLO as follows-

  

Calculation:

The area of the triangle can be found as follows-

  $ar(△PLO)=\frac{9\sqrt{3}\times 36}{2}=162\sqrt{3}$

c.

To determine

To find the area of triangle POT.

Answer to Problem 13PSB

  $ar(△POT)=81\sqrt{3}$

Explanation of Solution

Given:

The triangle is PLO as follows-

  

Calculation:

The area of the triangle POT can be found as follows-

  $ar(△POT)=\frac{9\sqrt{3}\times 18}{2}=81\sqrt{3}$

d.

To determine

To find the angle $\angle APT$ .

Answer to Problem 13PSB

  $\angle APT={30}^{\circ }$

Explanation of Solution

Given:

The triangle is PLO as follows-

  

Calculation:

The triangle is constructed as follows-

  

  $\angle APT={30}^{\circ }$