Was Pythagoras Greek or Roman?
Greek
What is the longest side of a right angled triangle called?
the hypotenuse
When using Trigonometry, the side length across from the angle is called?
Opposite
3 angles in a triangle equal...
180 degrees
Bio = Life, and Ology = the study of,
meaning BIOLOGY is the Study of Life.
What does Trigonometry mean?
The study of Triangles
When using Pythagoras Theorem, what side of a triangle is ALWAYS labled "c"?
Hypotenuse
When using Pythagoras Theorem, what equation is used when finding a leg?
c2 - a2 = b2
or
c2 - b2 = a2
What is the side next to the angle called?
adjacent
What Trig Function:
Sine
Find x (rd. to 1 dc.):
x = 68.9
Calculate the length of the hypotenuse:
26
Calculate the length of the Hypotenuse (to 2 dp):
7.62
With what sort of shapes can trigonometry and Pythagoras' theorem be used?
right triangles.
Solve for x (rd 1 dec.):
x = 6
Calculate the angle given: cos(x) = 0.02
Solve for x. (rd. to 1 dc.)88.9o
Calculate x (to 2 dp):
23.24
Calculate x (to 2 dp):
19.42
If I have an opposite side of 6 and an adjacent side of 6 what is the value of my reference angle?
45 degrees
Jimmy is 25 metres from the base of a tree. The angle from the ground to the top of the tree is 51°. Determine the height of the tree. Round the nearest whole metre.
height (x) = 30 metres.
If my adjacent side is 10m and my hypotenuse is 20m, what is the value of my reference angle?
60 degrees
What is the length of bd?
12
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
Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 19 and the angle = 78o.
(Draw a diagram)
c = 91.38
Solve for x and y (rd. to 1 dc.):
x = 44.9
y = 45.1
HANDS OFF THE TABLE!! Find every side and every angle (1 minute) (rd. to 1 dc.):
A = 36.9 a = 9
B = 53.1 b = 12
C = 90 c = 15