Flashcard 5-2 Review Problems 1 (2023)

Front

What is the equivalent of 89°11'15" in decimal degrees?

Back

89.2 degrees

Front

How do you calculate the angle of elevation when viewing an object from a height?

Back

Use the tangent function: tan(x) = opposite/adjacent. In this case, opposite is the height and adjacent is the horizontal distance.

Front

What is the value of tan(-π)?

Back

0

Front

How do you find the height of an object using the angle of elevation?

Back

Use the formula: height = distance * tan(angle).

Front

What is the angle of elevation?

Back

The angle formed between the horizontal line and the line of sight to an object above the horizontal.

Front

What is the formula for converting degrees and minutes to decimal degrees?

Back

Decimal degrees = degrees + (minutes/60) + (seconds/3600).

Front

If a tourist is 45 feet above the ground and sees a deer 130 feet away, how do you find the angle of elevation?

Back

Use the formula: angle = arctan(opposite/adjacent) = arctan(45/130).

Front

What is the significance of the angle of elevation in real-life scenarios?

Back

It helps in determining heights and distances in fields like architecture, aviation, and photography.

Front

How do you solve for a missing angle in a triangle?

Back

Use the fact that the sum of angles in a triangle is 180 degrees.

Front

What is the relationship between angles and their tangent values?

Back

The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.