A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression tothe towns are ß = 29° and @= 53° (see figure). How far apart are the towns? (Round your answer to one decimal place.)kmNot drawn to scaleNeed Help?Read ItWatch ItFind the angle of depression from the top of a lighthouse 200 feet above water level to the water line of a ship 2½ miles offshore.Need Help? Read ItWatch It10 km

Answered: A passenger in an airplane at an…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.1: Law Of Sines

Problem 46E: A boat is traveling due east parallel to the shoreline at a speed of 10 miles per hour. At a given...

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Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The window in Alberts room is 4.0 feet high and 6.5 feet wide. (Sec Figure 24.) a. Calculate the area of the floor surface in Alberts room that is illuminated by the sun when the angle of elevation of the sun is 84. b. One winter day the angle of elevation of the sun outside Alberts window is 37. Will the illuminated area of the floor in Alberts room be greater on the summer day, or on the winter day? Figure 24
Empire State Building You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82. The total height of the building is another 123 meters above the 86th floor. What is the approximate height of the building? One of your friends is on the 86th floor. What is the distance between you and your friend?
An amusement park ride the Octopus has eight support arms that are equally spaced about a circle. What is the measure of the central angle formed by two consecutive arms?
If the angle of elevation to the sun is 74.3 when a flagpole casts a shadow of 22.5 feet, what is the height of the flagpole? a. 63.2 feet b. 79.5 feet c. 83.1 feet d. 80.0 feet
Use the Distance Formula to find the distance between the points (4,5) and (3,4). Write the answer in exact form and then find the decimal approximation, rounded to the nearest tenth if needed.
Distance Suppose Figure 22 is an exaggerated diagram of a plane flying above earth. If the plane is 4.55 miles above earth and the radius of earth is 3.960 miles, how far is it from the plane to the horizon? What is the measure of angle A? Figure 22
The Learning Tower of Pisa The bell tower of the cathedral in Pisa, Italy, leans 5.6 from the vertical. A tourist stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the top of the tower to be 29.2. Find the length of the tower to the nearest meter.
An escalator in a department store makes an angle of 45 with the ground. How long is the escalator if it carries people a vertical distance of 24 feet? a. 122ft b. 242ft c. 83ft d. 48 ft
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.
Complete the drawing so that the figure is reflected across a line l b line m
Guy Wire A guy wire runs from the ground to a cell tower. The wire is attached to the cell tower 150 feet above the ground. The angle formed between the wire and the ground is 43 (see figure). (a) How long is the guy wire? (b) How far from the base of the tower is the guy wire anchored to the ground?

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