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# Class Note for MATH 1330 at UH 2

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This 4 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 20 views.

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Date Created: 02/06/15

Math 1330 Section 71 Solving Right Triangles In this section we ll solve right triangles We ll use right triangle trigonometry to nd the lengths of all ofthe sides and the measures of all ofthe angles In some problems you will be asked to nd one or two speci c pieces of information but often you ll be asked to solve the triangle that is to nd all lengths and measures that were not given You ll use the six trigonometric functions of an angle to do this In some cases you will be able to use properties of 300 60O 90O triangles or of 450 450 90 triangles Example 1 Write and solve two trigonometric functions to nd x and y 12 Example 2 Use properties of special triangles to nd x and y 5J3 Example 3 Suppose x represents an acute angle in a right triangle Use a calculator to nd x and round to the nearest hundredth sinx 5824 Example 4 Suppose x represents an acute angle in a right triangle Use a calculator to nd x and round to the nearest hundredth tanx Example 5 Find x and round the answer to the nearest hundredth Example 6 In AABC with right angle C AA 310 and AC 18 Find BC Round the answer to the nearest hundredth Example 7 Solve the triangle Round all answers to the nearest hundredth Example 8 Solve the triangle Round all answers to the nearest hundredth Example 9 Draw a diagram to represent the given situation Then nd the indicated measure to the nearest tenth An isosceles triangle has sides measuring 18 inches 26 inches and 26 inches What are the measures of its angles Example 10 Draw a diagram to represent the given situation Then nd the indicated measure to the nearest tenth A 20 foot ladder is leaned against the side of a building If the ladder forms a 560 angle with the ground how high up the side of the building does the ladder reach Example 11 Draw a diagram to represent the given situation Then nd the indicated measure to the nearest tenth The angle of elevation to the top of a building from a point on the ground 75 feet away from the building is 12 How tall is the building Example 12 Draw a diagram to represent the given situation Then nd the indicated measure to the nearest tenth Dave is at the top of a hill He looks down and spots his car at a 530 angle of depression If the hill is 82 meters high how far is his car from the base of the hill

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