When using the Pythagorean Theorem, the Hypotenuse is labeled with what letter?
C
When using the Pythagorean Theorem, the shorter sides are labeled with what letters?
A or B
When using Trigonometry, the side length ACROSS from the angle is labeled with what abbreviation?
Opp
When using Trigonometry, the side across from the right angle is labeled with what abbreviation?
hyp
When using Trigonometry, the side length across from the 90 degree angle is labeled with what abbreviation?
hyp
What would the angle measures be for a triangle with side lengths 1, sqrt(3), 2?
30, 60, 90
When using the Pythagorean Theorem, what is the formula to calculate side c?
c=sqrt(a^2+b^2)
TRIPLE POINTS: When using the Pythagorean Theorem, what is the formula to calculate side a?
a=sqrt(c^2-b^2
When using Pythagorean Theorem, what is the formula to calculate side b?
b=sqrt(c^2-a^2
sin (theta)=
O / H
cos(theta)=
A/H
What would the angle measures be for a triangle with side lengths 1, 1, sqrt(2)?
45, 45, 90
Calculate the length of the hypotenuse:
26
Calculate the length of the Hypotenuse (to 2 dp):
7.62
Evaluate: tan(48) (to 2 decimal places)
1.11
Evaluate: sin(25) (to 2 decimal places)
0.42
Evaluate: cos(59) (to 2 decimal places)
0.52
What is the horizontal distance?
12.8
Calculate x (to 2 dp):
23.24
Calculate x (to 2 dp):
19.24
When using Trigonometry, what formula is used to calculate the sine of an angle?
(Opp)/(Hyp)=sin(theta)
When using Trigonometry, what formula is used to calculate the cosine of an angle?
(Adj)/(Hyp)=cos(theta)
When using Trigonometry, what formula is used to calculate the tangent of an angle?
(Opp)/(Adj)=tan(theta)
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
What is the length of bd?
12
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
Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 31 and the angle = 48?
H = 46.33
Using Trigonometry, calculate the Hypotenuse when the Opposite side = 9 and the angle = 24?
H = 22.13
Using Trigonometry, calculate the opposite side when the Hypotenuse = 18 and the angle = 47?
O = 13.16
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