The angle of elevation of a ship's masthead 136 feet above the sea isobserved from a boat to be 16° above the horizontal plane of theobserver's eye. The observer's is 6 feet above the sea. How far is he fromthe ship?488.899 feet485.167 feet456.851 feet453.364 feet

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Answered: The angle of elevation of a ship's…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 23E

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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.
Leaning Windmill After a wind storm, a farmer notices that his 32-foot windmill may be leaning, but he is not sure. From a point on the ground 31 feet from the base of the windmill, he finds that the angle of elevation to the top of the windmill is 48. Is the windmill leaning? If so, what is the acute angle the windmill makes with the ground?
Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. A water sprinkler sprays water on a lawn over a distance of 25 feet and rotates through an angle of 130. Find the area of the lawn watered by the sprinkler.
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?
Leaning Ladder A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building?
Height of a Building From a point A on the ground, the angle of elevation to the top of a tall building is 24.1. From a point B, which is 600 ft closer to the building, the angle of elevation is measured to be 30.2. Find the height of the building.
Gateway Arch A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 35,000 ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is 22. a What is the distance between the plane and the arch? b What is the distance between a point on the ground directly below the plane and the arch?
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?
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
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Tracking a Satellite The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking stations A and B, which are 50 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0 and 84.2 respectively. a How far is the satellite from station A? b How high is the satellite above the ground?

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The angle of elevation of a ship's masthead 136 feet above the sea is observed from a boat to be 16° above the horizontal plane of the observer's eye. The observer's is 6 feet above the sea. How far is he from the ship?