Enrichment Activity for Unit 7

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the side opposite the right angle.

Front

How do you find the missing angle in a triangle?

Back

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

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by the line of sight above the horizontal when looking at an object.

Front

If a bird watcher spots an eagle at an angle of elevation of 57 degrees and is 50 feet from the base of the tree, how do you calculate the height of the eagle?

Back

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

Front

What is the formula for the tangent of an angle in a right triangle?

Back

Tangent = opposite side / adjacent side.

Front

How do you solve for x in a right triangle?

Back

Use trigonometric ratios (sine, cosine, tangent) based on the known angles and sides.

Front

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

Back

Sine = opposite side / hypotenuse.

Front

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

Back

Cosine = adjacent side / hypotenuse.

Front

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

Back

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

Front

How do you find the distance in a right triangle?

Back

Use the Pythagorean theorem or trigonometric ratios.