warm up3/10/13
DESCRIPTION
Warm Up3/10/13. Solve for the variables Simplify. x. y. y. Agenda. Warm Up Homework Check Review Trigonometry Angles of Elevation and Depression. Homework Check. 1)2)3)4) 5)6)7)8) 9). Homework Check. 2. 2 .3.4. 5.6.5. - PowerPoint PPT PresentationTRANSCRIPT
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• Solve for the variables
• Simplify
Warm Up3/10/13
x
yy
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Agenda
• Warm Up• Homework Check• Review Trigonometry• Angles of Elevation and Depression
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Homework Check1) 2) 3)
4)
5) 6) 7)8)
9)
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Homework Check
1. 2. 2.3. 4.
5. 6.5.
6) 9)
15)
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Trigonometry Review
To Solve for Sides To Solve for Angles
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Today’s Objective
Students will apply Angles of Depression and Elevation to solve word problems.
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Angle of Depression
The Angle of Depression is
the angle from the “sky to the
line”
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Angle of Elevation
The Angle of Elevation is the angle from the “ground to the line”
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Suppose an operator at the top of a lighthouse sights a sailboat at a 2o angle of depression.
If the top of the lighthouse is 25m above sea level, what is the distance x between the boat and the operator in the lighthouse to the nearest integer?
25x
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Claim: angle of depression = angle of elevation
• Why?
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ALWAYS DRAW A PICTURE!!!
The angle of elevation from point A to the top of a cliff is 38*. If point A is 80 feet from the base of the cliff, how high is the cliff?
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2. From the top of a tower, the angle of depression to a stake on the ground is 72*. The top of the tower is 80 feet above ground. How far is the stake from the foot of the tower?
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3. A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation of the sun.
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4. A ladder leaning against a house makes an angle of 60* with the ground. The foot of the ladder is 7 feet from the foundation of the house. How long is the ladder?
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5. A kite on a 40-foot string makes a 50* angle with the ground. How high above the ground is the kite?
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Classwork/Homework
• Angles of Depression/Elevation Worksheet