Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the side opposite the right angle and is the longest side of the triangle.

Front

What is the formula for finding the length of the hypotenuse in a right triangle?

Back

The Pythagorean theorem: a² + b² = c², where c is the hypotenuse.

Front

What is the tangent (tan) of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

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

Back

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

Front

What is the opposite side in relation to an angle in a right triangle?

Back

The opposite side is the side that is opposite to the angle being referenced.

Front

What is the adjacent side in relation to an angle in a right triangle?

Back

The adjacent side is the side that forms the angle with the hypotenuse.

Front

If a hawk swoops down at a 30-degree angle to catch a mouse 15 feet away, how do you find the distance from the tree branch to the mouse?

Back

Use the cosine function: distance = adjacent / cos(angle).

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How do you calculate the angle of elevation from a point to the top of an object?

Back

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