9.A tree broke 6 feet from the bottom. If the top of the tree landed 7 feet fromthe base of the tree, how tall was the tree originally?PART 3. 45°-45°-90° & 30°-60°-90° TRIANGLESFor each of the following, find the indicated lengths.10.FI =BI =45BO Type here to search7:59 PM1/21/2021

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Answered: A tree broke 6 feet from the bottom. If…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter63: Volumes Of Pyramids And Cones

Section: Chapter Questions

Problem 34A

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Laying Phone Cable City A lies on the north bank of a river that is 1 mile wide. You need to run a phone cable from City A to City B, which lies on the opposite bank 5 miles down the river. You will lay L miles of the cable along the north shore of the river, and from the end of that stretch of cable you will lay W miles of cable running under water directly toward City B. See Figure 2.108. Figure 2.108 You will need the following fact about right triangles: A right triangle has two legs, which meet at the right angle, and the hypotenuse, which is the longest side. An ancient and beautiful formula, the Pythagorean theorem, relates the lengths of the three sides: Lengthofhypotenuse=Lengthofoneleg2+Lengthofotherleg2 a. Find an appropriate right triangle that shows that W=1+(5L)2 b. Find a formula for the length of the total phone cable P from City A to City B as a function of L. c. Make a graph of the total phone cable length P as a function of L, and explain what the graph is showing. d. What value of L gives the least length for the total phone cable? Draw a picture showing the least-length total phone cable.
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
In ABC, the midpoints of the sides are joined. a what does intuition suggest regarding the relationship between AED and FDE? We will prove this relationship later. b what does intuition suggest regarding AED and EBF.

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A tree broke 6 feet from the bottom. If the top of the tree landed 7 feet from the base of the tree, how tall was the tree originally?