Problem 5. Find the area of the triangle that has the following properties ZA53°, c = 28.0153°, ZC ==

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Answered: = Problem 5. Find the area of the…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter7: Triangles

Section: Chapter Questions

Problem 8CT

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Problems 1 through 10 refer to triangle ABC, which is not necessarily a right triangle. If A=32,B=70, and a=3.8 inches, use the law of sines to find b.
Ferris Wheel In Problem Set 2.3, we mentioned a Ferns wheel built in Vienna in 1897 known as the Great Wheel. The diameter of this wheel is 197 feet. Use Figure 14 as a model of the Great Wheel. For each value of , find the distance traveled by a rider in going from initial position P0 to position P1. 60 210 285
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.

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= Problem 5. Find the area of the triangle that has the following properties ZA 53°, c = 28.01 53°, ZC =