kuruvila (lk5992) – HW 1 – Opyrchal – (11113)
1
This printout should have 9 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
001
10.0 points
A basketball player is 6 Ft 2
3
4
in tall.
What is his height in centimeters?
Correct answer: 189
.
865 cm.
Explanation:
We can convert to inches and then to cen
timeters:
6 Ft 2
3
4
in =
p
6 Ft
·
12 in
1 Ft
+ 2
.
75 in
P
×
2
.
54 cm
1 in
=
189
.
865 cm
.
002
10.0 points
±or the given triangles,
a
= 11
.
1 m,
b
=
6
.
77 m, and
α
= 56
◦
.
a
b
α
θ
±ind
θ
.
Correct answer: 24
.
2921
◦
.
Explanation:
Let the common side be
x
.
a
b
x
α
θ
In the triangle on the leFt,
tan
α
=
x
a
x
=
a
tan
α ,
and in the triangle on the right,
sin
θ
=
b
x
=
b
a
tan
α
θ
= arcsin
p
b
a
tan
α
P
= arcsin
b
6
.
77 m
(11
.
1 m) tan 56
◦
B
=
24
.
2921
◦
.
003
10.0 points
A person walks 27 m East and then walks
40 m at an angle 25
◦
North oF East.
What is the magnitude oF the total dis
placement?
Correct answer: 65
.
4723 m.
Explanation:
Let :
R
a
= 27 m
,
R
b
= 40 m
,
and
θ
= 25
◦
.
The total displacement is the vector sum oF
the two displacements, so
R
x
=
R
a
+
R
b
cos
θ
= 27 m + (40 m) cos25
◦
= 63
.
2523 m
and
R
y
=
R
b
sin
θ
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 Right triangle, Correct Answer, Orders of magnitude, tan θ

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