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Analytic Geometry Unit 2

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Page 1: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Analytic GeometryUnit 2

Page 2: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

POWERPOINT JEOPARDYTrig

ApplicationsComplementsAnglesTrig RatiosRight

Triangles

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Page 3: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The longest side of a right triangle.

Page 4: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The name of the sides opposite the acute

angles.

Page 5: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

3,4,5

5,12,13

7, 24, 25

Page 6: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

A right triangle whose legs are congruent.

Page 7: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

In a 300 - 600 - 900 triangle, the side whose

measure is ½ of the hypotenuse.

Page 8: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

hypotenuse

opposite

Page 9: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

hypotenuse

adjacent

Page 10: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

adjacent

opposite

Page 11: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

7

4In triangle ABC above, the trig ratio that equals .

Page 12: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The tangent of angle J

Page 13: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The angle above horizontal that an observer must look to see an object that is higher

than the observer.

Page 14: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The angle below horizontal that an observer must look to

see an object that is lower than the observer.

Page 15: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The relationship between the angle of elevation

and the angle of depression.

Page 16: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Complementary angles must always be

__________.

Page 17: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The angle congruent to the angle of elevation.

Page 18: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Two angles whose sum is 90 degrees.

Page 19: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The complement of sin 300

.

Page 20: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The complement of cos 440

.

Page 21: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The complement of sin (900 – x).

Page 22: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The complement of cos (900 – 250).

Page 23: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 350 and the depth of the ocean, at that point is 250 feet.

This measurement is represented by x.

Page 24: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The trig equation needed to find the height of the building.

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Insanity, atop the Stratosphere in Las Vegas, tilts riders at an angle of 700 from the vertical. Riders can see the Las Vegas Strip 900 feet below. The arms of the ride measure 40 ft.

This measure is the distance the riders are from the vertical.

Page 26: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The value of x.

Page 27: Trig Applications Complements Angles Trig Ratios Right Triangles 50 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50 10 20 30 40 50

The distance, d, from the ship to the shore.