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8.5 Angles of Elevation and Depression.pdf

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<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>Objective: Use angles <strong>of</strong> elevation <strong>and</strong>depression to solve problems.Apr 21­4:38 PM1


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Apr 21­4:40 PM2


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Vertical heights can sometimes be measured using eitherthe angle <strong>of</strong> elevation or the angle <strong>of</strong> depression.ObjectLine <strong>of</strong> sightAngle <strong>of</strong> elevationHorizontalAngle <strong>of</strong> depressionLine <strong>of</strong> sightObjectApr 25­7:05 PM3


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Apr 21­4:40 PM4


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Apr 21­4:40 PM5


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Apr 21­4:41 PM6


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Apr 21­4:41 PM7


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Example #3:Apr 21­4:41 PM8


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Example #4: A ship, <strong>of</strong>fshore from a vertical cliff knownto be 100 feet in height, takes a sighting <strong>of</strong> the top <strong>of</strong> thecliff. If the angle <strong>of</strong> elevation is found to be 25 o , how far<strong>of</strong>fshore is the ship?25 o 100 fttan 25 o = 100x =x100tan 25 oxx ≈ 214.45 feetApr 25­7:05 PM9


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 20105Apr 21­4:42 PM10


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 20106Apr 21­4:42 PM11


<strong>8.5</strong> <strong>Angles</strong> <strong>of</strong> <strong>Elevation</strong> <strong>and</strong> <strong>Depression</strong>March 10, 2010Homework:page 447(1 ­ 14, 28, 35 ­ 37)Apr 21­4:43 PM12

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