Trig 1 SOHCAHTOA
HW worksheet 7.4
January 05, 2015
Trigonometric Ratios
Objectives:
1.  To find trigonometric ratios using right triangles.
2.  Solve problems using trigonometric ratios.
What is trigonometry?
Trigonometry is the study of the relationships between the sides & the angles of Δ.
The key to basic trigonometry to is determine which sides are involved when 
looking from the angle of perspective.
There are 3 basic trigonometric functions:    
 sine (sin) cosine (cos) tangent (tan)
These trigonometric ratios are related to angle measurements.
hypotenuse
adjacent
side
opposite
side
Angle of Perspective : the angle from which you are looking
hypotenuse
adjacent
side
opposite
side
Trig 1 SOHCAHTOA
HW worksheet 7.4
January 05, 2015
opposite side
hypotenuse
adjacent side
sin α =
Trig Ratios:
(where α represents the measure 
of the perspective angle)
opposite side
hypotenuse
cos α =
adjacent side
tan α =
Find each trigonometric ratio accurate to 4 decimal places:
sin 28o cos 65o tan 50o
Solve for x.  Round to the nearest hundredth.
sin 50o
=
x
20
tan 33o
=
x
26
cos 82o =
x
20
tan 17o =
x
38
Trig 1 SOHCAHTOA
HW worksheet 7.4
January 05, 2015
25o
x
22
Find the measure of the missing information accurate to the nearest whole unit.
Find the measure of each angle to the nearest degree.
sin α =.471 cos δ = 1 tan θ = 1.57
 
y
m
n
18.6
37o
Trig 1 SOHCAHTOA
HW worksheet 7.4
January 05, 2015
x
yo
17
26
4
9
xo
y
Trig 1 SOHCAHTOA
HW worksheet 7.4
January 05, 2015
Angles of Elevation
An angle of elevation is the angle between the line of 
sight and the horizontal when an observer looks upward.
Angles of Depression
An angle of depression is the angle between the line of sight when an 
observer looks downward, and the horizontal.
Trig 1 SOHCAHTOA
HW worksheet 7.4
January 05, 2015
An airplane is flying at a height of 2 miles above the ground. The 
distance along the ground from the airplane to the airport is 5 miles. 
What is the angle of depression from the airplane to the airport?
A building is 50 feet high. At a distance away from the building, an observer 
notices that the angle of elevation to the top of the building is 41º. How far is the 
observer from the base of the building?
Trig 1 SOHCAHTOA
HW worksheet 7.4
January 05, 2015
HW
7­4 Wkst odds
7­5 Wkst evens

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Trig 1 part 1 notes