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1. The angle of the top of a building to the top of a nearby taller building is 46° 40' while the angle of depression to the bottom is 14° 10'. If the shorter building is 28.0 m high, find the height of the taller building.

1. The angle of the top of a building to the top of a nearby taller building is 46° 40' while the angle of depression to the bottom is 14° 10'. If the shorter building is 28.0 m high, find the height of the taller building.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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Tessiun 1. The angle of the top of a building to the top of a nearby taller building is 46° 40' while the angle of depression to the bottom is 14° 10'. If the shorter building is 28.0 m high, find the height of the taller building. 2. A hunter seeks to shoot a bird sitting on top of a tree. He approximates that he is 15 m from the tree as he positions himseif a mctre from the ground. If he tilts the barrel of his gun approximately 4500' upward, find how high the tree would have to be for him to shoot the bird where it sits. Ignore the wind speed and direction and other external forces. 3. A boy fishing in a pond has to sweep out an angle of "/12 look at the sinker of his fishing line. After the first fish is caught, he is so cheerful that he throws the fish so high that it reaches 3 metres above the pond. If the boy is seated a metre above the pond and after throwing the line, the fish is directly above the position of the sinker when the hook was in the water, find the distance between the sinker and the hook and by how many degrees the boy has to look upward to see the fish at its maximum height and hence the length of rope between the sinker and hook.
Transcribed Image Text:Tessiun 1. The angle of the top of a building to the top of a nearby taller building is 46° 40' while the angle of depression to the bottom is 14° 10'. If the shorter building is 28.0 m high, find the height of the taller building. 2. A hunter seeks to shoot a bird sitting on top of a tree. He approximates that he is 15 m from the tree as he positions himseif a mctre from the ground. If he tilts the barrel of his gun approximately 4500' upward, find how high the tree would have to be for him to shoot the bird where it sits. Ignore the wind speed and direction and other external forces. 3. A boy fishing in a pond has to sweep out an angle of "/12 look at the sinker of his fishing line. After the first fish is caught, he is so cheerful that he throws the fish so high that it reaches 3 metres above the pond. If the boy is seated a metre above the pond and after throwing the line, the fish is directly above the position of the sinker when the hook was in the water, find the distance between the sinker and the hook and by how many degrees the boy has to look upward to see the fish at its maximum height and hence the length of rope between the sinker and hook.
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