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Trigonometry in Real Life
November 13, 2014 1. How do we use a clinometer to measure angle of elevation and depression? 2. How do we use angle of elevation and depression to solve real-life problems?
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Finding angle of elevation using a clinometer
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Finding angle of depression using a clinometer
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Mission #1: Find the height of the Science banner hanging outside B508
Angle of elevation Height of your eye level
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Mission #2: Find the height between the B4 floor and B5 floor.
Given: 6.5 meters Height of your eye level B4 Locker Angle of depression B5 floor B4 floor
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Real-life Problem 1 While boating on Lake Trig, a limnologist (a scientist that studies freshwater lakes) drops an object straight down into the lake from her boat. The scientist then moves the boat 34 m and sees the object at the bottom of the lake. She measures an angle of 60° between the surface of the water and the object. Draw a well-labeled diagram representing this problem. Determine how deep the lake is.
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Real-life Problem 2 The towers of a suspension bridge reach about 140 m above the level of the bridge. The angles of elevation of the towers seen from the center the bridge and either end are 10° and 19° respectively. How long is the bridge?
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