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6. The diagonal of a rectangular big-screen TV screen measures 152 cm. The length measures 132 cm. What is the height of the screen?

6. The diagonal of a rectangular big-screen TV screen measures 152 cm. The length measures 132 cm. What is the height of the screen?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter1: The Six Trigonometric Functions
Section: Chapter Questions
Problem 2GP
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6. The diagonal of a rectangular big-screen TV screen measures 152 cm. The length measures 132 cm. What is the height of the screen? 7. Dylan has a square piece of metal that measures 10 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch? 8. Represent Real-World Problems A painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach? 9. What is the longest flagpole (in whole feet) that could be 2 ft shipped in a box that measures 2 ft by 2 ft by 12 ft? . 2 ft 12 ft 10. Sports American football fields measure 100 yards long between the end zones, and are 53 yards wide. Is the length of the diagonal across this field more or less than 120 yards? Explain. 11. Justify Reasoning A tree struck by lightning broke at a point 12 ft above the ground as shown. What was the height of the tree to the nearest tenth of a foot? Explain your reasoning. 12 ft 39 ft © Houghton Mifflin Harcourt Publishing Company
Transcribed Image Text:6. The diagonal of a rectangular big-screen TV screen measures 152 cm. The length measures 132 cm. What is the height of the screen? 7. Dylan has a square piece of metal that measures 10 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch? 8. Represent Real-World Problems A painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach? 9. What is the longest flagpole (in whole feet) that could be 2 ft shipped in a box that measures 2 ft by 2 ft by 12 ft? . 2 ft 12 ft 10. Sports American football fields measure 100 yards long between the end zones, and are 53 yards wide. Is the length of the diagonal across this field more or less than 120 yards? Explain. 11. Justify Reasoning A tree struck by lightning broke at a point 12 ft above the ground as shown. What was the height of the tree to the nearest tenth of a foot? Explain your reasoning. 12 ft 39 ft © Houghton Mifflin Harcourt Publishing Company
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