Pythagorean Theorem 1
Pythagorean Theorem 2
Either
Trigonometry 1
Trigonometry 2
What does it mean?
100

When using the Pythagorean Theorem, the Hypotenuse is labeled with what letter? 

C

100

When using the Pythagorean Theorem, the shorter sides are labeled with what letters? 

A or B

100

When using Trigonometry, the side length ACROSS from the angle is labeled with what abbreviation?

Opp

100

When using Trigonometry, the side across from the right angle is labeled with what abbreviation?

hyp

100

When using Trigonometry, the side length across from the 90 degree angle is labeled with what abbreviation?

hyp

100

What would the angle measures be for a triangle with side lengths 1, sqrt(3), 2?

30, 60, 90

200

When using the Pythagorean Theorem, what is the formula to calculate side c?

c=sqrt(a^2+b^2)

200

TRIPLE POINTS: When using the Pythagorean Theorem, what is the formula to calculate side a?

a=sqrt(c^2-b^2

200

When using Pythagorean Theorem, what is the formula to calculate side b?

b=sqrt(c^2-a^2

200

sin (theta)=

O / H

200

cos(theta)=

A/H

200

What would the angle measures be for a triangle with side lengths 1, 1, sqrt(2)?

45, 45, 90

300

Calculate the length of the hypotenuse: 

26

300

Calculate the length of the Hypotenuse (to 2 dp):


7.62

300

Evaluate: tan(48) (to 2 decimal places)

1.11

300

Evaluate: sin(25) (to 2 decimal places) 

0.42

300

Evaluate: cos(59) (to 2 decimal places)

0.52

300

What is the horizontal distance?

12.8

400

Calculate x (to 2 dp):

23.24

400

Calculate x (to 2 dp):

19.24

400

When using Trigonometry, what formula is used to calculate the sine of an angle?

(Opp)/(Hyp)=sin(theta)

400

When using Trigonometry, what formula is used to calculate the cosine of an angle?

(Adj)/(Hyp)=cos(theta)

400

When using Trigonometry, what formula is used to calculate the tangent of an angle?

(Opp)/(Adj)=tan(theta)

400

DOUBLE POINTS: Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a horizontal distance of 140 meters from her house. If the angle of elevation from where she stands in her yard to the clock is 15°, what is the elevation of the clock if her eye level is 1.6 meters above the ground? Round your answer to the nearest tenth.

39.1

500

What is the length of bd?

12

500

Daniel rides his bicycle 21 km west and then 18 km north. How far is he from his starting point? (to 2 dp)

27.66 km

500

Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 31 and the angle = 48?

H = 46.33

500

Using Trigonometry, calculate the Hypotenuse when the Opposite side = 9 and the angle = 24?

H = 22.13

500

Using Trigonometry, calculate the opposite side when the Hypotenuse = 18 and the angle = 47?

O = 13.16

500

DOUBLE POINTS: A lighthouse sits at the edge of a cliff, as shown. A ship at sea level is 610 meters from the base of the cliff. The angle of elevation from sea level to the base of the lighthouse is 55.1°. The angle of elevation from sea level to the top of the lighthouse is 56.5°. What is the height of the top of the lighthouse to the cliff?

47.2

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