The following problem refers to triangle ABC. Find the area of the triangle. Round to three significant digits.a = 77.5 cm , c = 60.7 cm , B = 17.6°square cmTIPEnter your answer as an integer or decimal number. Examples: 3, -4, 5.5172Enter DNE for Does Not Exist, oo for Infinity

Answered: The following problem refers to…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter8: Complex Numbers And Polarcoordinates

Section: Chapter Questions

Problem 18CLT

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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.
Problems 107 through 112 refer to right triangle ABC in which C=90. Solve each triangle. A=42, c=36

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The following problem refers to triangle ABC. Find the area of the triangle. Round to three significant digits. a = 77.5 cm , c = 60.7 cm , B = 17.6°.