Answer: 18in/minute x 60min/1hour = 1080 inches/hour

Slides:

Advertisements

Similar presentations

Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Use Shadow Reckoning Example 2:Use Indirect Measurement Five-Minute Check.

Advertisements

4.2 Using Similar Shapes How can you use similar shapes to find unknown measures?

Similar Triangles. What does similar mean? Similar—the same shapes, but different sizes (may need to be flipped or turned) 4 ft 8ft 12 ft 3ft 6 ft.

Indirect measurement Problems

SOLUTION EXAMPLE 2 Standardized Test Practice Corresponding side lengths are proportional. KL NP = LM PQ KL 12m = 10m 5m5m KL= 24 Write a proportion. Substitute.

November 3, 2014 NEW SEATS!!. November 3, 2014 W ARM -U P : A scale drawing of a rectangular rug has dimensions 8 inches by 5 inches. The length of the.

Math Week of Jan 5 th -core/grade-7/7_G- geometry/A/1/scale-map-distance- example.

EXAMPLE 3 Standardized Test Practice.

EXAMPLE 3 Standardized Test Practice. EXAMPLE 3 Standardized Test Practice SOLUTION The flagpole and the woman form sides of two right triangles with.

Final Exam Review: Measurement and Trigonometry

Applications of Proportions

Ratio is a comparison of two numbers by division.

Over Lesson 6–8 A.A B.B C.C D.D 5-Minute Check 1 The figures are similar. Find the missing measure. Lesson 6-7 The figures are similar. Find the missing.

Using Similar Figures to Solve Problems. There are a variety of problems that can be solved with similar triangles. To make things easier use or draw.

~adapted from Walch Education Solving Problems Using Similarity and Congruence.

5-7 Indirect Measurement Warm Up Problem of the Day

1-9 applications of proportions

LESSON 8.3B: Applications OBJECTIVE: To solve real-life problems using similar triangles/indirect measurement.

Similar figures have exactly the same shape but not necessarily the same size. Corresponding sides of two figures are in the same relative position, and.

Applications of Proportions

Unit 6: Scale Factor and Measurement

If I want to find the height of the tree, what measures do I need to know?

Problems of the Day 1) 2)Challenge: Two triangles are similar. The ratio of the lengths of the corresponding sides is If the length of one side of the.

Bell Work Find the measure of the missing value in the pair of similar polygons. (Shapes not drawn to scale.) 1. x 30 m 7 m 70 m 3 m 2. 2 mm x 5 mm 27.5.

Warm Up Evaluate each expression for a = 3, b = –2, c = 5.

Similar figures have the same shape but not necessarily the same size.

5. 5% of $70 Warm Up Solve each proportion x = 20 x = 45

Station 1 - Proportions Solve each proportion for x

Similar Triangles Application

When a 6-ft student casts a 17-ft shadow, a flagpole casts a shadow that is 51 ft long. Find the height of the flagpole. Similarity and Indirect Measurement.

Do Now Find the missing sides. 1) 15 5 y ) x – 2 32 y = 7x = 26.

Indirect Measurement Unit 7.5 Pages Warm Up Problems Fill in the missing value 1. 6 = 18 t k = = 42 8 n t = 15 k = 5 n =

1. What is the height of the building?

Groundhog Day A 16 inch tall groundhog emerges on Groundhog Day near a tree and sees its shadow. The length of the groundhog’s shadow is 5 inches, and.

4.2 Using Similar Shapes How can you use similar shapes to find unknown measures?

Indirect Measurement. Indirect Measurement: Allows you to use properties of similar polygons to find distances or lengths that are difficult to measure.

Do Now Find the missing sides. y = 7 x = 26 2) 1) x – y

Applications of Proportions

5-7 Indirect Measurement Warm Up Problem of the Day

Applications of Proportions

Angle-Angle Similarity

Similarity and Indirect Measurement

Applications of Proportions

Applications of Proportions

Unit 6: Scale Factor and Measurement

Applications of Proportions

Lesson 6.5 Similarity and Measurement

Similar triangles.

Main Idea and New Vocabulary Example 1: Use Shadow Reckoning

Applications of Proportions

Applications of Proportions

Module 17: Lesson 3 Using Proportional Relations

Applications of Proportions

Applications of Proportions

6.3 AA Similarity Geometry.

Indirect Measurement 5-10

Bellringer a.) Sheryl bought 3 pieces of candy for $1.29. At that rate, what would 8 pieces of candy cost her? $3.44.

Applications of Proportions

Applications of Proportions

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Geometry Topics Name: __________________________

Applications of Proportions

Applications of Proportions

Goal: The learner will us AA Similarity.

Applications of Proportions

Applications of Proportions

Similarity and Indirect Measurement

Using Similar Figures ABC is similar to DEF. Find the value of c. =

Presentation transcript:

Bell Work: Use a unit multiplier to convert 18 inches per minute to inches per hour.

Answer: 18in/minute x 60min/1hour = 1080 inches/hour

Lesson 65: Applications Using Similar Triangles

We can find the measure of some objects that are difficult to measure by using similar triangles. Recall that the side lengths of similar triangles are proportional.

Example: Maricruz wants to know the height of a flag pole Example: Maricruz wants to know the height of a flag pole. She stands a meter stick in a vertical position and finds that the length of its shadow is 120 cm. at the same time the shadow of the flag pole is 30 m long. How tall is the flag pole?

Answer: p/30 = 100/120 p = 25 meters

In this example, Maricurz used indirect measure to find the height of the flagpole. Instead of placing a measuring tool against the flagpole, she measured the shadow of the flagpole and used proportional relationships to find the height of the flagpole.

Practice Problems

Practice #1: A statue, honoring Ray Hnatyshyn (1934–2002), can be found on Spadina Crescent East, near the University Bridge in Saskatoon. Use the information below to determine the unknown height of the statue.

Answer: 3 meters

Practice #2: A tree 24 feet tall casts a shadow 12 feet long Practice #2: A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet tall. How long is Brad's shadow? (draw a diagram and solve)

Answer: 3 feet

Practice #3: A 40-foot flagpole casts a 25-foot shadow Practice #3: A 40-foot flagpole casts a 25-foot shadow. Find the shadow cast by a nearby building 200 feet tall. (draw a diagram and solve)

Answer: 125 Feet

Practice #4: A girl 160 cm tall, stands 360 cm from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamp post?

Answer: 800 cm

Practice #5: A tower casts a shadow 7 m long Practice #5: A tower casts a shadow 7 m long. A vertical stick casts a shadow 0.6 m long. If the stick is 1.2 m high, how high is the tower? (draw a diagram and solve)

Answer: 14 m

Practice #6: A tree with a height of 4m casts a shadow 15 m long on the ground. How high is another tree that casts a shadow which is 20 m long? (draw a diagram and solve)

Answer: 5.34 m

HW: Lesson 65 #1-25