indirect measurement

Front

What is indirect measurement?

Back

Indirect measurement is a technique used to determine the height or length of an object by using the properties of similar triangles and proportional relationships.

Front

How do you find the height of an object using shadows?

Back

You can find the height of an object by setting up a proportion between the height of the object and the length of its shadow compared to another object with a known height and shadow length.

Front

If a tree is 72 feet tall and casts a 12-foot shadow, what is the ratio of height to shadow length?

Back

The ratio is 72 feet / 12 feet = 6. This means for every 6 feet of height, there is 1 foot of shadow.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal.

Front

If two figures are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar figures are proportional.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If a flagpole is represented as 1 inch = 4 feet, how tall is a 12-inch flagpole?

Back

The actual height of the flagpole is 12 inches x 4 feet/inch = 48 feet.

Front

True or False: In similar figures, angles are always congruent.

Back

True. In similar figures, corresponding angles are congruent.

Front

If a 6-foot person casts a 2-foot shadow, what is the height of a flagpole that casts a 10-foot shadow?

Back

Using proportions: (6 ft / 2 ft) = (h / 10 ft). Solving gives h = 30 feet.

Front

What is the relationship between the heights of two objects and their shadows when using indirect measurement?

Back

The heights of the objects are proportional to the lengths of their shadows.