Pythagorean Theorem 1
Pythagorean Theorem 2
SOHCAHTOA 1
SOHCAHTOA 2
SOHCAHTOA 3
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
tan (theta)=
(Opposite) / (Adjacent)
100
sin (theta)=
(Opposite) / (Hypotenuse)
100
cos(theta)=
(Adjacent)/(Hypotenuse)
200
What is the hypotenuse always across from?
The right angle (90 degrees)
200
What are the two shorter sides of the triangle called?
The legs
200
When using Trigonometry, the side length across from the angle is labeled with what letter?
O
200
When we are solving for an angle, we need to use an ___________ trig function.
Inverse
200
The side across from the right angle is labeled with what letter?
H
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
400
Calculate x (to 2 dp):
23.24
400
Calculate x (to 2 dp):
19.42
400
Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 31 and the angle = 48? (2 dp)
H = 46.33
400
Using Trigonometry, calculate the Hypotenuse when the Opposite side = 9 and the angle = 24? (2 dp)
H = 22.13
400
Using Trigonometry, calculate the opposite side when the Hypotenuse = 18 and the angle = 47? (2 dp)
O = 13.16
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
What is the horizontal distance?
12.8
500
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
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