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Trig 1
HW wkst 74 odds, 75 evens 1
May 09, 2011
Trigonometric RatiosObjectives: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.
hypotenuseadjacentside
oppositeside
Angle of Perspective: the angle from which you are looking
hypotenuse
adjacentside
oppositeside
Trig 1
HW wkst 74 odds, 75 evens 2
May 09, 2011
opposite side
hypotenuse
adjacent sidesin α =
Trig Ratios:(where α represents the measure
of the perspective angle)
opposite sidehypotenuse
cos α = adjacent sidetan 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 =x20
tan 33o =x26
cos 82o =x20
tan 17o =x38
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HW wkst 74 odds, 75 evens 3
May 09, 2011
25ox22
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
mn
18.637o
Trig 1
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May 09, 2011
xyo
1726
4
9
xoy
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May 09, 2011
Angles of ElevationAn angle of elevation is the angle between the line of sight and the horizontal when an observer looks upward.
Angles of DepressionAn angle of depression is the angle between the line of sight when an observer looks downward, and the horizontal.
Trig 1
HW wkst 74 odds, 75 evens 6
May 09, 2011
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
HW wkst 74 odds, 75 evens 7
May 09, 2011
HW74 Wkst odds75 Wkst evens