Part 1 of Project

Front

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

Back

Height = (Height of object / Length of shadow) * Length of shadow of the object being compared.

Front

If a lamppost casts an 8-foot shadow and is 5.25 feet tall, how do you find the height of a lighthouse that casts a 128-foot shadow?

Back

Use the ratio of heights to shadows: (Height of lighthouse / 128) = (5.25 / 8). Solve for the height of the lighthouse.

Front

What is the height of a flagpole if it is given as 51 feet tall?

Back

The height of the flagpole is 51 feet.

Front

How can you determine the height of a tree using a mirror?

Back

Stand at a distance where you can see the top of the tree in the mirror. The height of the tree is equal to the distance from the mirror to the tree.

Front

What is the height of a tree if it is given as 15 feet?

Back

The height of the tree is 15 feet.

Front

What is the significance of using shadows to determine height?

Back

Shadows can be used to create similar triangles, allowing for the calculation of heights based on proportional relationships.

Front

If a tree casts a shadow of 15 feet, and a nearby object casts a shadow of 5 feet, how do you find the height of the tree if the object is 3 feet tall?

Back

Use the ratio: (Height of tree / 15) = (3 / 5). Solve for the height of the tree.

Front

What is the relationship between the height of an object and the length of its shadow?

Back

The height of an object is proportional to the length of its shadow when the light source is at the same angle.

Front

How do you convert feet and inches to just feet?

Back

To convert inches to feet, divide the number of inches by 12. For example, 5 feet 3 inches = 5 + (3/12) = 5.25 feet.

Front

What is the height of a tree if it is given as 12 feet?

Back

The height of the tree is 12 feet.