Chapter 8.7, Problem 1CE

To determine

The angle of elevation from X to A, the angle of depression from A to X, the angle of depression from A to Y, the angle of elevation from Y to A and whether the angle of elevation from Z to A is greater or less than $35°$ .

Answer to Problem 1CE

The angle of elevation from X to A is $35°$ .

The angle of depression from A to X is $35°$ .

The angle of depression from A to Y is $23°$ .

The angle of elevation from Y to A is $23°$ .

The angle of elevation from Z to A is greater than $35°$ .

Explanation of Solution

Given:

The diagram shows , angle from A to X is $35°$ , angle from A to Y is $23°$ , and angle from Z to A is $12°$ .

Calculation:

a. The angle of elevation from X to A is $35°$ since the line joining X and A makes an angle of $35°$ from the horizontal line.

b. The angle of depression from A to X is $35°$ since the line joining A and X is a traversal to the given parallel lines.

c. The angle of depression from A to Y is $23°$ since the line joining A and Y makes an angle of $23°$ from the dashed − horizontal line.

d. The angle of elevation from Y to A is $23°$ since the line joining Y and A is a traversal to the given parallel lines.

e. The angle of elevation from Z to A is greater than $35°$ since the point Z is nearer to A when as compared to the point X.