5-3 Solving Trigonometric Equations Worksheet With Answers Page 6
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28If the distance to the net is 50 feet, then the angle
The time it took the skier to reach the maximum
5-3 Solving Trigonometric Equations
would be 19.9° or 70.1°.
height was about 1.0 seconds.
20.
Find all solutions of each equation on the
SKIING In the Olympics aerial skiing competition,
interval [0, 2 ).
skiers speed down a slope that launches them into
2
the air, as shown. The maximum height a skier can
21.
1 = cot
x + csc x
reach is given by h
=
, where g is
SOLUTION:
peak
the acceleration due to gravity or 9.8 meters per
second squared.
a. If a skier obtains a height of 5 meters above the
end of the ramp, what was the skier’s initial speed?
b. Use your answer from part a to determine how
long it took the skier to reach the maximum height if
t
=
.
peak
SOLUTION:
a.
Therefore, on the interval [0, 2π) the solutions are
,
, and
.
The skier’s initial speed was 11.67 meters per
22.
sec x = tan x + 1
second.
SOLUTION:
b.
The time it took the skier to reach the maximum
height was about 1.0 seconds.
Find all solutions of each equation on the
interval [0, 2 ).
2
21.
1 = cot
x + csc x
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Page 6
SOLUTION:
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