Right Triangle Trigonometry Example
Page 133
Exercise 14.
Please see Figure 4.90
A surveyor sights two points directly ahead. Both are at an
elevation 18.525 m lower than the observation point. How far
apart are the points if the angles of depression are

Right Triangle Trigonometry Example
Page 132
Exercise
92.
Please see Figure 4.86
A ground observer sights a weather balloon to the east at an angle
of elevation of 15.0 DEG . A second observer 2.35 miles to the
east of the first observer also sights the w

Right Triangle Trigonometry Example
Page 132 Online Text Book
Find the gear angle
88.
Please see Figure 4.83
in Figure 4.83 if
t
= 0.180 inches.
Solution:
By drawing (dropping) two perpendiculars in the diagram, we
can split the 0.355 in length in the dia

Right Triangle Trigonometry Example
Page 132 Exercise 87.
Please see Figure 4.82
A laser beam is transmitted with a width of 0.00200 DEG .
What is the diameter of a spot of the beam on an object 52,500
km distant? Please see figure 4.82 .
Solution:
We can

Right Triangle Trigonometry Example
Page 132 Exercise 84. Online Text Book Please see Figure 4.79
A Coast Guard boat 2.75 km from a straight beach can travel at
37.5 km/hr . By traveling along a line that is at 69.0 DEG with
the beach, how long will it ta

Right Triangle Trigonometry Example
Page 133
Exercise 13.
The loading ramp at the back of a truck is 9.5 feet long. What
angle does it make with the ground if the top of the ramp is 2.5
feet above the ground?
Solution:
The vertical dimension in this Figur

Right Triangle Trigonometry Example
Page 133
Exercise 11.
In finding the wavelength (the Greek letter lambda) of light,
the equation
= d sin( )
is used.
Find
DEG .
(
is the prefix for
if
d
=
30.05
m
and
=
1.167
)
6
10
Solution:
=
DEG )
d sin(
)
=
( 30.05

Right Triangle Trigonometry Example
Page 133
Exercise 9.
The equal sides of an isosceles triangle are each 12.0 , and each
base angle is 42.0 DEG . What is the length of the third side?
Solution:
Here is Our isosceles triangle (isosceles means that two of

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Nov 1
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Tue
Wed
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Post Due
Thur
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Oct 30
Sat
Oct 31
First Wk 2
Post Due
Nov 6
Nov 7
Nov 9
First Wk 3
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Nov 13
Nov 14
Nov 16
First Wk 4
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Nov 21
Nov 23
First Wk 5
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First Wk 6
P

TRIGONOMETRY
The trigonometry of right triangles
Coordinate trigonometry
RIGHT TRIANGLE TRIGONOMETRY
Definitions of the trig ratios:
sine
sin
opposite leg
hypotenuse
SOH
Note:
cosine
cos
tangent
adjacent leg
hypotenuse
CAH
A and B are complementary ang

TRIGONOMETRY
Importance of calculator settings
MODE
IN CALCULATION
In calculation:
If we are in the wrong mode, our answers will be wrong!
Mode should agree with units in the problem.
Example: solve for x
sin 67 = 50/x
x =
/sin 67
50
x - 58.4
MODE
IN CALC

COURSE SCHEDULE
Week, TCOs, and Topics
Readings and Class
Preparation
Activities and
Assignments
Week 1
TCO 1
The Trigonometric
Functions
Section 4.1: Angles
MATH 104 REVIEW
Section 4.2: Defining the
Trigonometric Ratios
CHECKPOINT 1
Section 4.3: Values o

Sun
Oct 25
Mon
Oct 26
Nov 1
Nov 2
Fri
Oct 30
Sat
Oct 31
First Wk 2
Post Due
Nov 6
Nov 7
Nov 9
First Wk 3
Post Due
Nov 13
Nov 14
Nov 16
First Wk 4
Post Due
Nov 20
Nov 21
Nov 23
First Wk 5
Post Due
Nov 27
Nov 28
First Wk 6
Post Due
Dec 4
Dec 5
First Wk 7
Po

Right Triangle Trigonometry Example
Page 133
Exercise 95.
A patio is designed in the shape of an isosceles trapezoid with
bases 5.0 m and 7.0 m . The other sides are 6.0 m each.
Write one or two paragraphs explaining how to use (a) the sine
and (b) the co

TRIGONOMETRY
Angles and their measures
ANGLE MEASUREMENT
1.
Degree measure ( 1 revolution = 360 )
a. Decimal degrees
b. Degrees minutes seconds
2.
(1 = 60 and 1 = 60 )
Radian measure ( 1 revolution = 2 radian)
a.
Definition: consider a central angle. A ra