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 (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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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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