Pythagoras 1
Pythagoras 2
Either
Trigonometry 1
Trigonometry 2
10
Was Pythagoras Greek or Roman?
Greek
10
When using Pythagoras Theorem, the shorter sides are labelled with what letters?
a or b
10
When using Trigonometry, the side length across from the angle is called?
Opposite
10
A right-angle is equal to ...
90 degrees.
10
When using Trigonometry, what do the letters O, A and H represent?
Opposite, Adjacent and Hypotenuse
20
When using Pythagoras Theorem, what is the formula to calculate the length of the hypotenuse?
c^2=a^2+b^2
20
When using Pythagoras Theorem, what is the formula to calculate the length of side a (one of the shorter sides)?
a^2=c^2-b^2
20
When using Pythagoras Theorem, what is the formula to calculate side b?
b^2=c^2-a^2
20
sin (theta)=
O / H
20
cos(theta)=
A/H
30
Calculate the length of the hypotenuse:
26
30
Calculate the length of the Hypotenuse (to 2 dp):
7.62
30
A ladder is leaning against a wall. The foot of the ladder is 7m from the wall and it reaches 25m up the wall. How long is the ladder?
25.96m
30
What does TOA in SOHCAHTOA mean?
tan (angle) = opp/adj
30
Free Points
30
40
Calculate x (to 2 dp):
23.24
40
Calculate x (to 2 dp):
19.42
40
When using Trigonometry, what formula is used to calculate the hypotenuse when given the adjacent?
cos(theta)=A/H
40
A ladder makes an angle of 65∘ with the ground and reaches 4 m up a wall.
How long is the ladder?
4.4m
40
Using trigonometry, calculate the length of the adjacent side when the opposite side length is 13 and the angle is 6 degrees.
A = 123.69
50
What is the length of bd?
12
50
Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point? (to 2 dp)
27.66 km
50
Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 19 and the angle = 78o.
c = 91.38
50
Complete the Pythagorean triad: 8, 17, ?
15
172 - 82 = 152
50
If a tree is 6 metres tall, how long would its shadow be when the sun is 15o above the horizon?
22.39 m