November 15, 2011
Sine Ratio
Sine: In a right angle triangle the ratio of the
length of the side opposite a given angle to
the length of the hypotenuse
Sine = opposite
hypotenuse
November 15, 2011
Sine Review
P
What side is opposite angle P?
r
q
R
What side is opposite angle Q?
p
Q
What side is adjacent to angle P?
What side is the hypotenuse?
November 15, 2011
Sin = opp
hyp
20
15
20o
16
What would the value of sine be in this case?
November 15, 2011
If we are looking for the angle n what do we type in our calculators?
n
25
15
p
20
What is the value of n?
What is the value of p?
November 15, 2011
Calculate the unknown angles
34 '
26'
12cm
10cm
November 15, 2011
What do we type in to our calculator to
find the unknown side?
53.13o
60 m
n
37.87o
48m
What is the unknown side?
November 15, 2011
Calculate the unknown side
n
60o
12.4m
n
25 ft
30o
November 15, 2011
Match the correct side length to the triangle:
n
3
n
53.13o
side
length
3.6
6
8.55
37.87o
4
4.8
n
24
70o
n
12
30o
20.8
m
70o
25
n
41.35
23.5
44
17
30o
n
5
m
19.63
15
9.81
November 15, 2011
Angle of depression:
The angle formed between the
horizontal and the line of sight when
looking down.
November 15, 2011
Definitions you will need:
Angle of Elevation (Angle of Inclination):
The angle formed between the horizontal
and looking up
November 15, 2011
The angle of elevation for a slide that is 3.6 meters long is 32o.
How high above the ground is the top of the slide?
November 15, 2011
Using Sine to calculate an unknown side:
Calculate the height of the building
55 ft
70o