Pythagoras 1
Pythagoras 2
Either
Trigonometry 1
Trigonometry 2
100
Was Pythagoras Greek or Roman?
Greek
100
What is the longest side of a right angled triangle called?
the hypotenuse
100
When using Trigonometry, the side length across from the angle is called?
Opposite
100
A right-angle is equal to ...
90 degrees.
100
When using Trigonometry, what do the letters O, A and H represent? (like in SOHCAHTOA)
Opposite, Adjacent and Hypotenuse
200
When using Pythagoras Theorem, what is the formula to calculate the length of the hypotenuse?
c^2=a^2+b^2
200
When using Pythagoras Theorem, what operation is needed when finding a shorter side?
subtraction/minus
200
What is the side next to the angle called?
adjacent
200
sin (theta)=
O / H
200
cos(theta)=
A/H
300
Calculate the length of the hypotenuse:
26
300
Calculate the length of the Hypotenuse (to 2 dp):
7.62
300
With what sort of shapes can trigonometry and Pythagoras' theorem be used?
right-angled triangles.
300
What is the length of BC? Round to 2dp
1.71
300
Jamal is flying a kite at a local park. He lets out 70 m of his kite string, which make an angle of 72 degrees with the ground.
Draw a diagram of the situation and determine the height of the kite above the ground. (nearest meter)
67m
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 = 19 and the angle = 78o.
(Draw a diagram)
91.38
400
How long is side y?
8.67
400
Using trigonometry, calculate the length of the adjacent side when the opposite side length is 13 and the angle is 6 degrees. (Draw a diagram)
A = 123.69
500
What is the length of bd?
12
500
Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point? (to 2 dp)
* hint - draw a right angled triangle to help *
27.66 km
500
Find the width (x) of the rectangle.
x = 5
500
Find the length of BD. Round to the nearest unit.
101 units
500
If a tree is 6 metres tall, how long would its shadow be when the sun is 15o above the horizon? (Draw a diagram)
22.39 m