Chapter 1.5, Problem 18PPS

To determine

To Find: Thedescription of the direction in another way by the use of the acute angle and two of the four directions, north, south, east and west.

Answer to Problem 18PPS

The way to denote $23°$ is $67°$ north of east.

Explanation of Solution

Given:

The compass is used to drive $23°$ east of the north.

The given diagram is shown in Figure 1

  

Figure 1

Calculation:

Consider that the angle EON is the right angle this shows that the angle NOA and AOE are complementary, then by the right angle sum,

  $\begin{array}{c}m\measuredangle AOE=90-23\\ =67°\end{array}$

Thus, the way to denote $23°$ is $67°$ north of east.