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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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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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