Solving Proportions & Indirect Measurement

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the height to shadow ratio?

Back

The height to shadow ratio is the relationship between the height of an object and the length of its shadow.

Front

If a 5 ft person casts an 8 ft shadow, what is the height to shadow ratio?

Back

The height to shadow ratio is 5:8.

Front

How can you find the height of an object using indirect measurement?

Back

You can find the height of an object by setting up a proportion based on the height to shadow ratios.

Front

What is the formula for finding the height of a tree if you know the height of a person and their shadow length?

Back

Height of tree = (Height of person / Length of person's shadow) * Length of tree's shadow.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the measures of the angles in a triangle is always 180 degrees.

Front

If the angles of a triangle are in the ratio 6:2:7, how do you find the measure of each angle?

Back

Let the angles be 6x, 2x, and 7x. Then, 6x + 2x + 7x = 180. Solve for x to find each angle.

Front

What is the largest angle in a triangle with angles in the ratio 6:2:7?

Back

The largest angle measures 84 degrees.

Front

What is indirect measurement?

Back

Indirect measurement is a method of using proportions to find a measurement that is difficult to measure directly.