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Lesson 75
Application of Trigonometry
Angles of Elevation and Depression
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Transparency 75
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1. Use a graphing calculator to find tan 54°.
Round to the nearest ten
thousandth.
1. Find m
∠
B
to the nearest tenth of a degree if cos
B
= 0.8926 and
∠
B
is an acute angle.
Find x.
Round the nearest tenth.
3.
4.
5.
6.
What is the value of tan Θ?
13
x°
9
36°
24
x
59°
18.5
x
Standardized Test Practice:
C
B
D
13
Θ
5
12

5
12

13
5

12
5

13
A
1.3764
26.8°
14.1
46.2°
30.8
Trig
Definitions
•
S
in (angle)
=
•
C
os (angle) =
•
T
an (angle) =
O
pposite

H
ypotenuse
A
djacent

H
ypotenuse
O
pposite

A
djacent
S

O

H
C

A

H
T

O

A
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View Full Document θ
hypotenuse
A
B
C
Main Trig Functions:
Others:
Sin
Csc
Cos
Sec
Tan
Cot
Use trig functions to help find a
missing side
in a right triangle.
Format:
some side
Trig Function (
an angle
, θ for example) = 
some other side
where the
some side
or the
some other side
is the missing side (variable, like x)
Use inverse trig functions to help find a
missing angle
in a right triangle.
Format:
some side
Trig Function
1
() =
missing angle
, θ for example
some other side
where the trig function
1
is found using
2
nd
key then the trig function on calculator
Anatomy of a Trig Function
Angles of Elevation and Depression
Since the two horizontal lines are parallel, by Alternate Interior Angles
the angle of depression
must be equal
to the angle of elevation.
Bottom Horizontal
Top Horizontal
Line of Sight
Angle of Elevation
Angle of Depression
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View Full Document Angles of Depression or Elevation
•
Step 1:
Draw
this triangle
to fit problem
•
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This note was uploaded on 01/12/2011 for the course MAT117 MAT 117 taught by Professor Ranjitrebello during the Spring '09 term at University of Phoenix.
 Spring '09
 RANJITREBELLO

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