Indirect Measurement

Indirect Measurement Using Similar Triangles

Fill in the Blanks

Are these 2 triangles similar, if so how?

Draw

Are these triangles similar, is so write how they are similar?

Math Response

At the same time a 2 meter street sign casts a 3 meter shadow, a nearby telephone pole casts a 12.3 meter shadow. How tall is the telephone pole?

Type answer here

Correct Answer: 8.2

Deg^°

Rad

Example

​In this problem we are trying to find the distance from D to E, the length of Lake Okeechobee.

Fill in the Blanks

Why are these two triangles similar?

Math Response

Find the distance across Lake Okeechobee

Type answer here

Correct Answer: 21

Deg^°

Rad

Math Response

Find d

Type answer here

Correct Answer: 10

Deg^°

Rad

Example

An engineer wanted to approximate the width of a river. She placed markers at Point A and Point B to represent the average width of the river. She also placed 3 other markers along the riverbank and measured the distances shown in the diagram below.

Fill in the Blanks

An engineer wanted to approximate the width of a river. She placed markers at Point A and Point B to represent the average width of the river. She also placed 3 other markers along the riverbank and measured the distances shown in the diagram below. How are the triangle similar?

Fill in the Blanks

An engineer wanted to approximate the width of a river. She placed markers at Point A and Point B to represent the average width of the river. She also placed 3 other markers along the riverbank and measured the distances shown in the diagram below. Find the distance from A to B