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Analytic Geometry Unit 2

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Presentation on theme: "Analytic Geometry Unit 2"— Presentation transcript:

1 Analytic Geometry Unit 2
Created by Educational Technology Network

2 POWERPOINT JEOPARDY Right Triangles Trig Ratios Angles Complements Trig Applications 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50

3 The longest side of a right triangle.
What is the hypotenuse?

4 The name of the sides opposite the acute angles.
What are the legs?

5 3,4,5 5,12,13 7, 24, 25 What are Pythagorean Triples?

6 A right triangle whose legs are congruent.
What is an isosceles or 450 – 450 – 900 triangle?

7 In a 300 - 600 - 900 triangle, the side whose measure is ½ of the hypotenuse.
What is the short leg?

8 What is sine?

9 What is cosine?

10 What is tangent?

11 In triangle ABC above, the trig ratio that equals .
What is tan C?

12 The tangent of angle J What is 5/12?

13 The angle above horizontal that an observer must look to see an object that is higher than the observer. What is the angle of elevation?

14 The angle below horizontal that an observer must look to see an object that is lower than the observer. What is the angle of depression?

15 The relationship between the angle of elevation and the angle of depression.
What is congruent?

16 Complementary angles must always be __________.
What is acute?

17 The angle congruent to the angle of elevation.
What is angle 4?

18 Two angles whose sum is 90 degrees.
What are complementary angles?

19 The complement of sin 300. What is cos 600?

20 The complement of cos 440. What is sin 460 ?

21 The complement of sin (900 – x).
What is cos x ?

22 The complement of cos (900 – 250).
What is sin 250 ?

23 This measurement is represented by x.
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. What is the distance from Kristin to the reef?

24 The trig equation needed to find the height of the building.
What is tan 550 = h/57 ?

25 This measure is the distance the riders are from the vertical.
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. What is ft?

26 The value of x. What is 9√2 or ft?

27 The distance, d, from the ship to the shore.
What is ft? The distance, d, from the ship to the shore.


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