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
A right-angle is equal to ...
3 angles in a triangle equal...
90 degrees.
180 degrees
Bio = Life, and Ology = the study of,
meaning BIOLOGY is the Study of Life.
What does Trigonometry mean?
The measure of Triangles
When using Pythagoras Theorem, what side of a triangle is ALWAYS labled "c"?
Hypotenuse
When using Pythagoras Theorem, what operation is needed when finding a leg?
c2 - a2 = b2
or
c2 - b2 = a2
What is the side next to the angle called?
adjacent
What Trig Function:
Sin
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
Mr. B Factoid:
What's Mr. B's puppies name?
(hint: Hey yo Adrian!)
Rocky
Jimmy is 25 ft. from the base of a tree. The angle of elevation to the top of the tree is 51°. Determine the height of the tree. Round the nearest whole foot.
height (x) = 30.
No labels = 1/2 points
Jimmy is flying a blimp. The angle of depression to his landing spot is 23°. He has an altitude of 2300m. Determine his current distance to his landing spot. (Round to nearest foot)
No label = 1/2 points
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