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Presentation transcript:

200 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 PythagorasSpecialRightTriangles The Tangent Ratio The Sine & Cosine RatiosWordProblems

4 13 x The value of x is this

What is 3√17

What is 6√5

a²+b²>c² is this type of triangle (classified by its angles)

What is acute

This theorem states that if a²+b²=c², then the triangle is a right triangle.

What is the Converse of the Pythagorean Theorem

3,4,5 & 5,12,13 are examples of these.

What is a Pythagorean Triple

This is the value of x 5 45°45° x

What is 5√2

4 60° 30° x This is the value of x

What is 8

7 60° 30° x This is the value of x

What is 7√3

7 60° 30° x This is the value of x

What is 7/2 or 3.5

7 60° 30° x This is the value of x

What is (7√3)/2

This is the Definition of The Tangent Ratio

What is opp/adj

117Ɵ This is value of tan Ɵ

What is 7/11

117Ɵ This is value of tan Ɵ

What is 11/7

2 Ɵ 5 This is the value of Ɵ

What is 22°

2 23° x This is the value of x

What is 4.72

This is the definition of Sine

What is opp/hyp

This is the definition of Cosine

What is adj/hyp

7 12 Ɵ This is the sin Ɵ

What is 7/12

The value of sin49

What is.7547

7 15 Ɵ Determine the value of Ɵ

What is 28°

You are standing near the Washington monument which is 555 ft tall. The angle of elevation from your position to the top of the monument is 37°. How far are you from the monument?

What is ft

The angle of elevation from the base to the top of a water slide is about 28°. The horizontal length of the slide is about 45 ft. Find the height of the slide.

What is 23.9 ft

You lean a 20 ft ladder against a wall. The base of the ladder is 4 ft from the wall. What angle Ɵ does the ladder make with the ground?

What is 78°

A chair lift on a ski slope has an angle of elevation of 28° and covers a total distance of 2000 ft. To the nearest ft, what is the vertical height covered by the chair lift?

What is ft

You are designing a ramp where the horizontal distance is twice as long as the vertical rise. What will be the ramp angle to the nearest tenth of a degree?

What is 27°