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1 Imagine, you can figure out the height of the pole or building without directly measuring it. Triangle Ratios Copyright © January 2004 by Maxine Wigfall A Slide Presentation Use enter key to advance slide show. You may write on your presentation with the mouse by using the right mouse button and following the prompts. Using the right mouse button also allows you other options. I suggest that you use the speaker notes area to take notes. You can copy and paste them into a word processing document if you wish to keep them. You can end the show by pressing control, alt, delete buttons or by using the right mouse button and following the prompts. Reminder: Use the mouse to advance the slide show.

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2 Using Similar Triangles to Solve A man is standing in front of a pole. The man is 5 feet tall. The man cast a shadow that is 10 feet. The pole cast a shadow that is 30 feet tall. How tall is the pole? Man = pole mans shadow poles shadow 5 = x 10 30 10 * X = 5 * 30 10x = 150 x = 15 answer: Pole is 15 ft. NOTE: large triangle = pole and its shadow small triangle = man and his shadow Given Info: man = 5 ft. Mans shadow = 10 ft pole = x unknown poles shadow = 30 ft. Reminder: Use the mouse to advance the slide show.

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3 Using Similar Triangles to Solve A man is standing in front of a pole. The man is 4 feet tall. The man cast a shadow that is 5 feet. The pole cast a shadow that is 30 feet tall. How tall is the pole? Man = pole mans shadow poles shadow 4 = x 5 30 5 * X = 4 * 30 5x = 120 x = 24 answer: Pole is 24 feet. Note: large triangle = pole and its shadow small triangle = man and his shadow Given Info: man = 4 ft. Mans shadow = 5 ft pole = x unknown poles shadow = 30 ft. Reminder: Use the mouse to advance the slide show.

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4 Using Similar Triangles to Solve A man is standing in front of a pole. The man is 6 feet tall. The man cast a shadow that is 10 feet. The pole cast a shadow that is 40 feet tall. How tall is the pole? Man = pole mans shadow poles shadow 6 = x 10 40 10 * X = 6 * 40 10x = 240 x = 24 Answer: Pole is 24 feet. Note: large triangle = pole and it shadow small triangle = man and his shadow Given Info: man = 6 ft. Mans shadow = 10 ft pole = x unknown poles shadow = 40 ft. Reminder: Use the mouse to advance the slide show.

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5 Using Similar Triangles to Solve A man is standing in front of a pole. The man is 4.5 feet tall. The man cast a shadow that is 8.6 feet. The pole cast a shadow that is 22.5 feet tall. How tall is the pole? Man = pole mans shadow poles shadow 4.5 = x 8.6 22.5 8.6 * X = 4.5 * 22.5 8.6x = 101.25 x = 11.77 Note: large triangle = pole and its shadow small triangle = man and his shadow Given Info: man = 4.5 ft. Mans shadow = 8.6 ft pole = x unknown poles shadow = 22.5 ft. Reminder: Use the mouse to advance the slide show.

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6 Quiz 1.)A man is standing in front of a pole. The man is 4.5 feet tall. The man cast a shadow that is 8.6 feet. The pole cast a shadow that is 22.5 feet tall. How tall is the pole? Directions: Try to do the problems out. Then advance to the next slide to see the correct answers. 2.)A man is standing in front of a pole. The man is 6 feet tall. The man cast a shadow that is 10 feet. The pole cast a shadow that is 30 feet tall. How tall is the pole? 3.)A man is standing in front of a pole. The man is 5.5 feet tall. The man cast a shadow that is 10.5 feet. The pole cast a shadow that is 25.5 feet tall. How tall is the pole? 4.)A man is standing in front of a tree. The man is 6 feet tall. The man cast a shadow that is 2 feet. The pole cast a shadow that is 15 feet tall. How tall is the tree? 5.)A man is standing in front of a tree. The man is 5 feet tall. The man cast a shadow that is 2 feet. The tree cast a shadow that is 12 feet tall. How tall is the tree? Note: After the fifth problem appears, do not hit enter until you are ready to see the answers. Reminder: Use the mouse to advance the slide show.

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7 Quiz - ANSWERS 1.)A man is standing in front of a pole. The man is 4.5 feet tall. The man cast a shadow that is 8.6 feet. The pole cast a shadow that is 22.5 feet tall. How tall is the pole? Directions: Try to do the problems out. Then advance to the next slide to see the correct answers. 2.)A man is standing in front of a pole. The man is 6 feet tall. The man cast a shadow that is 10 feet. The pole cast a shadow that is 30 feet tall. How tall is the pole? 3.)A man is standing in front of a pole. The man is 5.5 feet tall. The man cast a shadow that is 10.5 feet. The pole cast a shadow that is 25.5 feet tall. How tall is the pole? 4.)A man is standing in front of a tree. The man is 6 feet tall. The man cast a shadow that is 2 feet. The tree cast a shadow that is 15 feet tall. How tall is the tree? 5.)A man is standing in front of a tree. The man is 5 feet tall. The man cast a shadow that is 2 feet. The tree cast a shadow that is 12 feet tall. How tall is the tree? H O W D I D Y O U D O ? 168.75 feet 18 feet 14.025 feet 45 feet 30 feet Reminder: Use the mouse to advance the slide show.

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Division ÷ 1 1 ÷ 1 = 1 2 ÷ 1 = 2 3 ÷ 1 = 3 4 ÷ 1 = 4 5 ÷ 1 = 5 6 ÷ 1 = 6 7 ÷ 1 = 7 8 ÷ 1 = 8 9 ÷ 1 = 9 10 ÷ 1 = 10 11 ÷ 1 = 11 12 ÷ 1 = 12 ÷ 2 2 ÷ 2 =

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