Unit 5 Retest

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the horizontal line and the line of sight from an observer to an object above the horizontal line.

Front

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

Back

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

Front

What is a 30-60-90 triangle?

Back

A special right triangle where the angles are 30 degrees, 60 degrees, and 90 degrees. The sides are in the ratio 1:√3:2.

Front

What is the Pythagorean theorem?

Back

Front

What are the conditions for a triangle to be classified as acute?

Back

A triangle is acute if all its angles are less than 90 degrees.

Front

What is the relationship between the sides of a right triangle?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

How do you determine if a set of side lengths can form a triangle?

Back

Use the triangle inequality theorem: the sum of the lengths of any two sides must be greater than the length of the third side.

Front

What is the formula for the height of a lighthouse given the distance from the base and the angle of elevation?

Back

Height = distance * tan(angle of elevation).

Front

What is an obtuse triangle?

Back

A triangle is obtuse if one of its angles is greater than 90 degrees.

Front

What is a right triangle?

Back

A triangle that has one angle equal to 90 degrees.