origin and has a radius of length 1 (so that the hypotenuse of the triangle shown has length 1). The measure of angle A is 30°. OPP Find the length of the red side of the triangle (labeled OPP), and use that to find the y coordinate of the blue point. Enter exact expressions or round your answers to the nearest thousandth. Length of red side= y coordinate of blue point = Part 2: The circle below is still centered at the origin and has a radius of length 1. The measure of angle B is 42. Again, find the length of the red side of the triangle (labeled OFF) and use that to find the y coordinate of the blue point, Enter exact expressions or round your answers to the nearest thousandth Length of red side

origin and has a radius of length 1 (so that the hypotenuse of the triangle shown has length 1). The measure of angle A is 30°. OPP Find the length of the red side of the triangle (labeled OPP), and use that to find the y coordinate of the blue point. Enter exact expressions or round your answers to the nearest thousandth. Length of red side= y coordinate of blue point = Part 2: The circle below is still centered at the origin and has a radius of length 1. The measure of angle B is 42. Again, find the length of the red side of the triangle (labeled OFF) and use that to find the y coordinate of the blue point, Enter exact expressions or round your answers to the nearest thousandth Length of red side

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.6: Optimization

Problem 16E: Laying Phone Cable City A lies on the north bank of a river that is 1 mile wide. You need to run a...

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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.
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