8.5 Angles of Elevation and Depression.pdf
8.5 Angles of Elevation and Depression.pdf
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