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An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall does the ladder go?

An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall does the ladder go?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Rig Triangle Trig Name Applications. Practice 3. Alex is standing in the lookout tower of a ship, 500 feet away (horizontally) from a lighthouse. The angle of indine is 5°. Alex's eye Is 30 feet above sea level. How high above sea level is the top of the lighthouse? Period Date angle of depression angle of elevation 4. Grant is standing on the second floor of the school, looking over a balcony and waving to Mitchell, who is standing on the first floor. The horizontal distance between them is 20 feet. If the angle of depression is 38°, how far above Mitchell is Grant (vertically)? Start each problem by DRAWING A PICTURE. It doesn't have to be beautiful, but it should include all relevant information. Once you have the picture drawn with the information labeled, look for right triangles and use trigonometry (sine, cosine, and tangent) to find the measurement you're asked for. ROUND ALL ANSWERS TO TWO DECIMAL PLACES, 1. An 8-foot ladder leaning against a wall makes an angle of 74° with the ground. How high up the wall does the ladder go? 5. People beading south on Interstate 24 in Mont Eagle, Tennessee must drive down a pretty steep hill. The angle of depression is 4°. For every mile of road (diagonally), what is the change in altitude in miles? In feet? 2. An ant standing 50 meters from a building must incline his head 52° to see the top of the bullding. How tall is the building? 6. Kelly is standing 1,200 feet away from the base of the Acrophobia ride at Six Flags, looking at the top. The angle of elevation is 11°. Kelly is 5.5 feet tal. How tall is the Acrophobia ride?
Transcribed Image Text:Rig Triangle Trig Name Applications. Practice 3. Alex is standing in the lookout tower of a ship, 500 feet away (horizontally) from a lighthouse. The angle of indine is 5°. Alex's eye Is 30 feet above sea level. How high above sea level is the top of the lighthouse? Period Date angle of depression angle of elevation 4. Grant is standing on the second floor of the school, looking over a balcony and waving to Mitchell, who is standing on the first floor. The horizontal distance between them is 20 feet. If the angle of depression is 38°, how far above Mitchell is Grant (vertically)? Start each problem by DRAWING A PICTURE. It doesn't have to be beautiful, but it should include all relevant information. Once you have the picture drawn with the information labeled, look for right triangles and use trigonometry (sine, cosine, and tangent) to find the measurement you're asked for. ROUND ALL ANSWERS TO TWO DECIMAL PLACES, 1. An 8-foot ladder leaning against a wall makes an angle of 74° with the ground. How high up the wall does the ladder go? 5. People beading south on Interstate 24 in Mont Eagle, Tennessee must drive down a pretty steep hill. The angle of depression is 4°. For every mile of road (diagonally), what is the change in altitude in miles? In feet? 2. An ant standing 50 meters from a building must incline his head 52° to see the top of the bullding. How tall is the building? 6. Kelly is standing 1,200 feet away from the base of the Acrophobia ride at Six Flags, looking at the top. The angle of elevation is 11°. Kelly is 5.5 feet tal. How tall is the Acrophobia ride?
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