Trigonometry Problems Worksheet With Answer Key Page 2
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1
2
31 6 .
Express the following angles as decimal fractions of a degree.
(a) 25', (b) 45", (c) 20°15', (d) 78°37'22".
1 7 .
At noon the sun is directly overhead. At 2:00 PM the shadow of a
tree is 40 ft long. How long will the shadow be at 5:00 PM if sunset is
at 6:00 PM?
ANSWERS to SELECTED PROBLEMS
1 .
0.7 radians
2 .
163°
3 .
250°
4 .
1.97
radians
5 .
73°
6 .
243°
7.
sin66°=0.914, cos66°=0.407, tan66°=2.246
8 .
sin(0.89 rad)=0.777, cos(0.89 rad)=0.629, tan(0.89 rad)=1.235
9 .
sin178°=0.035, cos178°=-0.999, tan178°=-0.035
1 0 .
sin(3.41 rad)=-0.265, cos(3.41 rad)=-0.964,
tan(3.41 rad)=0.275
1 1 .
The opposite side is 52tan(53°)=69.01 meters.
The hypoteneuse is √ (52
2
2
+69.01
)=86.41 meters.
1 2 .
The opposite side is 81tan(31°)= 48.67 meters.
The hypoteneuse is √ (81
2
2
+48.67
)= 94.5 meters.
1 3 .
sin(0.94 rad)=0.808.
Error=100%x[(0.94-0.808)/0.808]=16.34%
1 4 .
sin(0.32 rad)=0.315.
Error=100%x[(0.32-0.315)/0.315]=1.59%
trigonometry problems, page 2
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