Chapter 1.4, Problem 10WE

To determine

Whether the angle $\angle LAS$ appears acute, right, obtuse, or straight of below plot:

Answer to Problem 10WE

The angle $\angle LAS$ appears as acute angle.

Explanation of Solution

Given:

The plot is shown below:

Calculation:

Definitions of types of angles are:

Angle which is less than 90 degree is known as acute angle.

Angle which is more than 90 degree is known as obtuse angle.

Angle which is equal to 180 degree is known as straight angle.

Angle which is equal to 90 degree is known as right angle.

Here, the given plot is shown below:

Thus, angle $\angle LAS$ appears less than 90 degree but it can be more than 90 degree as well. Assume, it is less than 90 degree.

  $\angle LAS<90°$

Hence, the angle $\angle LAS$ appears as acute angle.