Section 4.8 Applications of Trigonometric Functions
Solving a right triangle
means finding the missing lengths of its sides and the measurements of its
angles.
a
is the side opposite angle
A
.
b
is the side opposite angle
B
.
c,
the hypotenuse,
is the side opposite angle
C
(right angle)
Use the sine, cosine, or tangent function to solve the right triangle.
EX 1:
Solve the right triangle.
Round lengths to two decimal places and express angles to the nearest
tenth of a degree.
Trigonometry as first developed to measure heights and distances that were inconvenient or impossible
to measure directly.
In solving application problems, begin by making a sketch involving a right
triangle that illustrates the problem’s conditions.
Then use an appropriate trigonometric function to find
the required distance, height, or angle.
EX 2:
A 200foot cliff drops vertically into the ocean.
If the angle of elevation from a ship to the top
of the cliff is 22.3º, how far off shore, to the nearest foot, is the ship?
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 Fall '08
 Mcbride,V
 Trigonometry, Angles, Simple Harmonic Motion, N P W E W O P E S N

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