Chapter 4.2, Problem 16PPS

(a)

To determine

The type of the triangle.

Answer to Problem 16PPS

Obtuse isosceles triangle.

Explanation of Solution

Given:

The given figure is:

Calculation:

Two sides of the triangle are equal and one angle is more than 90 degrees. Therefore, the given triangle is an obtuse isosceles triangle.

(b)

To determine

The angle of ascent and the angle of descent.

Answer to Problem 16PPS

  $m\angle a=m\angle d=3.5°$

Explanation of Solution

Given:

The given figure is:

Calculation:

The sum of angles of a triangle is 180 degrees. Therefore,

  $\begin{array}{l}m\angle a+m\angle d+173=180\\ m\angle a+m\angle a=180-173\\ 2m\angle a=7°\\ m\angle a=m\angle d=3.5°\end{array}$