5.2_bzat4e - Transits and sextants are instruments used to...

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Section 5.2 Right Triangle Trigonometry
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Right Triangle Definitions of Trigonometric Functions
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Trigonometry values for a given angle are always the same no matter how large the triangle is
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Example Find the value of each of the six trigonometric functions of if b=4 and c=2 5. θ 4 b = 2 5 c =
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Function Values for Some Special Angles
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Example 0 0 0 Find the csc 30 , sec 30 , cot 30
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Example 0 0 0 Find the csc 60 , sec 60 , cot 60
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Trigonometric Functions and Complements
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Example Find a cofunction with the same value as the given expression: cos 20 cot 40 o o
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Applications
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An angle formed by a horizontal line and the line of sight to an object that is above the horizontal line is called the angle of elevation. The angle formed by a horizontal line and the line of sight to an object that is below the horizontal line is called the angle of depression.
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Unformatted text preview: Transits and sextants are instruments used to measure such angles. Example The irregular blue shape is a pond. The distance across the pond, a, is unknown. To find this distance, a surveyor took the measurements shown in the figure. What is the distance across the pond? 1200 yards The inverse function for tangent and the other angles can be accessed on your calculator the same way. Example 36 feet 40 feet A building is 40 feet high and it casts a shadow 36 feet long. Find the angle of elevation of the sun to the nearest degree. (a) (b) (c) (d) 3 1 Find the cos . 3 10 10 3 10 10 10 1 10 (a) (b) (c) (d) 30 o 50 feet Find the height of the tree if the length of the shadow is 50 feet when the sun is at a 30 angle. 25 feet 25.56 feet 28.87 feet 30 feet...
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This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.

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5.2_bzat4e - Transits and sextants are instruments used to...

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