An architect built a scale model of a shopping mall. On the model, a circular fountain is
20
20 inches tall and
22.5
22.5 inches in diameter. The actual fountain is to be
8
8 feet tall. What will be the diameter of the fountain? (A)
7.1
7.1 feet (B)
9
9 feet (C)
7
7 feet (D)
10.5
10.5 feet
Explanation
Verified
Step 1
1 of 2
Given a circular fountain is 20
i
n
c
h
e
s
inches tall and 22.5 inches in diameter.
Writing above scale as fraction
Height
Diameter
=
20
22.5
Diameter
Height
=
22.5
20
Now given the fact that actual fountain is 8
f
e
e
t
feet i.e 96
i
n
c
h
e
s
inches tall and let its diameter be
x
x
i
n
c
h
e
s
inches, therefore
20
22.5
=
96
x
22.5
20
=
x
96
The distance of the ship from the shore is given by:
tan θ=opposite/adjacent
θ=28°
adjacent=x
opposite=360 m
substituting the values in our equation we get:
tan 28=360/x
solving for x we get
x=360/tan 28
x=677.06 m
The answer would be 3x^2 I think.
Arabia because she has the largest numbers
