Name:_____________________________
MATH 140 PROJECT #1 DUE JAN. 24
Show all work on separate sheet of paper.
The Gibb’s Hill Lighthouse, Southampton, Bermuda, has been in
operation since 1846, and stands 117 feet high on a hill 245 ft high, so its beam of light is
362 feet above sea level. The website, http://bermudalighthouse.com/facts.htm, states
that the light itself can be seen on the horizon about 26 miles distant. It also states that
ships 40 miles away can see the light and planes flying at 10,000 ft can see it 120 miles
away. Use the facts you know about the Pythagorean Theorem, that the radius of Earth is
3960 miles, and 1 mile = 5280 ft.
c)
d)
e)
f)
Line-of-Sight Distance
f(s)
im
Horizon L
40
it
50
s
0+
28
s/5
=
arth
of E s
ius
e
Rad 960 mil
3
60
39
ft.
b)
Calculate the Horizon Limit line-of-sight distance, and the line-of-sight
distance from the plane. How does this correspond with the information on
the website?
Horizon Limit LOS distance ___________
Plane LOS distance____________
_____________________________________________
Express the line-of-sight distance (in miles) from the ship as a function, f(s),
where s is the height of the ship (in feet)._____________________________
Create a TABLE with TblsStart=0, ∆Tbl = 10.
Express f(s) values with four decimal places.
s
f(s)
Use this to fill in the table below.
0
What is the domain of f(s)?_________________
10
What is the range of f(s)?__________________
What height of the ship is assumed for the
20
line-of-sight distance to be 40 miles?
30
s=_______________
10
,0
00
a)
36
2f
t.
60
70
80
90
100
er
nt rth
e
C Ea
of