Patel, Kinal – Homework 3 – Due: Sep 11 2007, 7:00 pm – Inst: D Weathers
1
This
printout
should
have
9
questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
The due time is Central
time.
001
(part 1 oF 2) 10 points
Two sides oF a triangle are 11
.
9 cm and
32
.
5 cm, with the included angle 109
◦
.
a) What is the length oF the third side?
Correct answer: 38
.
0748 cm.
Explanation:
Basic Concepts:
The Law oF Cosines states
c
2
=
a
2
+
b
2

2
ab
cos
C
The Law oF Sines states
sin
A
a
=
sin
C
c
Solution
a
c
b
A
C
We are looking For the side opposite the
given angle so
c
=
p
a
2
+
b
2

2
ab
cos
C
002
(part 2 oF 2) 10 points
b) What is angle opposite the side 11
.
9 cm?
Correct answer: 17
.
1884
◦
.
Explanation:
sin
A
a
=
sin
C
c
A
= arcsin
µ
a
sin
C
c
¶
keywords:
003
(part 1 oF 1) 10 points
A high Fountain oF water is located at the
center oF a circular pool as in the fgure.
A
student walks around the pool and estimates
its circumFerence to be 214 m.
Next, the
student stands at the edge oF the pool and uses
a protractor to gauge the angle oF elevation oF
the top oF the Fountain to be 55
.
8
◦
.
How high is the Fountain?
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 Fall '07
 Weathers
 Trigonometry, Pythagorean Theorem, Law Of Cosines, Work, Correct Answer, triangle, patel

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