Geometry Interim School Assignment

Front

What is the formula to estimate the height of an object using similar triangles?

Back

Height = (Length of shadow of object / Length of shadow of observer) * Height of observer.

Front

What does SOHCAHTOA stand for in trigonometry?

Back

SOHCAHTOA is a mnemonic for remembering the definitions of sine, cosine, and tangent: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If the opposite side is 8 and the adjacent side is 12, what is the tangent of the angle?

Back

Tangent = 8/12 = 2/3.

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Front

What is the Pythagorean theorem?

Back

In a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

How do you find the height of a tree using a kite string?

Back

Use the length of the kite string and the angle of elevation to calculate the height using trigonometric ratios.

Front

What does 'opposite' refer to in a right triangle?

Back

The side opposite to the angle being referenced.

Front

What is the definition of 'adjacent' in a right triangle?

Back

The side that is next to the angle being referenced, but not the hypotenuse.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it is 5 or more, round up the tenths place by one, otherwise keep the tenths place the same.