# SAT II Math I : Finding Angles with Trigonometry

## Example Questions

### Example Question #1 : Finding Angles With Trigonometry

What is the measure of the angle made between a line segment with points  and the -axis?  Round your answer to the nearest hundreth of a degree.

No angle measure can be calculated

Explanation:

Based on the information given, we know that the ratio of  to  on this segment could be represented as:

This ratio represents the tangent of the triangle formed by our line segment and the -axis.  Using the inverse tangent function, we can find the angle measure:

This refers to a reference angle of

### Example Question #2 : Finding Angles With Trigonometry

What is the measure of the angle made between a line segment with points  and the -axis? Round your answer to the nearest hundreth of a degree.

No angle can be calculated

Explanation:

Based on the information given, we know that the ratio of  to  on this segment could be represented as:

This ratio represents the tangent of the triangle formed by our line segment and the -axis. Using the inverse tangent function, we can find the angle measure:

This refers to a reference angle of .

### Example Question #3 : Finding Angles With Trigonometry

A triangle is formed by connecting the points .  Determine the elevation angle to the nearest integer in degrees.