Chapter 1.4, Problem 44PPS

(a)

To determine

To Find: The measure of the angle between the due west and the North West.

Answer to Problem 44PPS

The angle measure between the due west and the due north is 90 degree.

Explanation of Solution

Given:

The given diagram is shown in Figure 1.

  

Figure 1

Calculation:

From the figure the angle between the due west and due north is one quarter. Then, the measure of the angle between it is,

  $\frac{1}{4}\left(360\right)=90$

Thus, the angle measure between the due west and the due north is 90 degree.

(b)

To determine

To Find: Themeasure of the angle between the due north and the North West.

Answer to Problem 44PPS

The angle between due north and the due North West is $45$ degree.

Explanation of Solution

The angle between the due North and the due West is congruent with the angle between the due west ant the due north, then compute the measure of the angle between north and the north west as,

  $\frac{1}{2}\left(90\right)=45$

Thus, the angle between due north and the due North West is $45$ degree.

(c)

To determine

To Find: The way in which the North West ray is related to the angle that is in part (a).

Answer to Problem 44PPS

The way in which the North West ray is related to the angle that is in part (a) is that the North West is the angle bisector.

Explanation of Solution

Consider that the North West ray is the angle bisector of the angle between the due west and the due north as the angle between due north and due North West that is congruent to the angle between the due west and the North West.