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Review Homework. Skills Check. Sin-Cosine Cofunction. The Sin-Cosine Cofunction. 1. What is sin A?. 2. What is Cos C?. 3. What is Sin Z?. 4. What is Cos X?. 5. Sin 28 = ?. 6 . Cos 10 = ?. 7. ABC where B = 90. Cos A = 3/5 What is Sin C?. 8. Sin = Cos 15 What is ?. - PowerPoint PPT PresentationTRANSCRIPT
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Review Homework
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Skills Check
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Sin-CosineCofunction
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The Sin-Cosine Cofunction
sin cos(90 )cos sin(90 )
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1. What is sin A?
3034
1517
2. What is Cos C?
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3. What is Sin Z?
2426
1213
4. What is Cos X?
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5. Sin 28 = ?
cos62
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6. Cos 10 = ?
sin80
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7. ABC where B = 90.Cos A = 3/5
What is Sin C?35
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8. Sin = Cos 15
What is ?75
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Trig Application Problems
MM2G2c: Solve application problems using the trigonometric ratios.
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Depression and Elevation
horizontal
line of sight
horizontalangle of elevation
angle of depression
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9. Classify each angle as angle of elevation or angle of depression.
Angle of Depression
Angle of Elevation
Angle of DepressionAngle of Elevation
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Example 10• Over 2 miles (horizontal), a road rises 300 feet (vertical). What is the angle of elevation to the nearest degree? 5280 feet – 1 mile
300tan 10,560
2
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Example 11• The angle of depression from the top
of a tower to a boulder on the ground is 38º. If the tower is 25m high, how far from the base of the tower is the boulder? Round to the nearest whole number.
32x meters
25tan38x
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Example 12• Find the angle of elevation to the top of a
tree for an observer who is 31.4 meters from the tree if the observer’s eye is 1.8 meters above the ground and the tree is 23.2 meters tall. Round to the nearest degree.
34
21.4tan 31.4
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Example 13• A 75 foot building casts an 82
foot shadow. What is the angle that the sun hits the building? Round to the nearest degree.
48
82tan 75
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Example 14• A boat is sailing and spots a
shipwreck 650 feet below the water. A diver jumps from the boat and swims 935 feet to reach the wreck. What is the angle of depression from the boat to the shipwreck, to the nearest degree? 44
650n 935si
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Example 15• A 5ft tall bird watcher is
standing 50 feet from the base of a large tree. The person measures the angle of elevation to a bird on top of the tree as 71.5°. How tall is the tree? Round to the tenth.
154.4x feet
tan71.5 50x
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Example 16• A block slides down a 45 slope for a
total of 2.8 meters. What is the change in the height of the block? Round to the nearest tenth.
2meters
n45 2.8xsi
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Example 17• A projectile has an initial horizontal
velocity of 5 meters/second and an initial vertical velocity of 3 meters/second upward. At what angle was the projectile fired, to the nearest degree?
31
3tan 5
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Example 18• A construction worker leans his
ladder against a building making a 60o angle with the ground. If his ladder is 20 feet long, how far away is the base of the ladder from the building? Round to the nearest tenth.
10x feetcos60 60x