Download KMT #4 ~ Kekuhaupi`o

KMT #4 ~ Kekuhaupi‘o
Background
Kekuhaupi‘o was built in
1950-51. It cost $47,656
and is 20,650 square feet.
In 1977 Kekuhapi‘o was
given to St. Louis high
school and a new
Kekuhaupi‘o gym was built.
Kekuhaupi‘o is fifty
thousand square feet and
cost $3,651,846. There is
also a dance studio, weight
room,
gymnastics/cheerleading
room, concession stand,
racquet ball room with six
courts, and locker rooms
for boys and girls. There is
also a portrait of
Kekuhaupi‘o, surrounded by
all the trophies that
Kamehameha schools won.
Kekuhaupi‘o means “the
standing of the arched hau
tree.” No one knows how the
name came to be. Kekuhaupi‘o
was born on the island of
Hawaii in the early 1700’s.
he excelled in games as a
warrior. Kekuhaupi‘o was
Kamehameha’s adviser in war
and blood shed. He died
while participating in a
friendly sham battle when a
hau wood spear pierced an
old wound.
Problem
A Volleyball is stuck
on the top bleacher in
Kekuhaupi‘o. Each
bleacher row is 1 ¼ ft.
in height, there are 12
rows. The bleachers
are closed (pushed up
against the wall). If
you have ladder that is
7 ft. taller then the
bleachers, find the
length of all sides of
the triangle that the
ladder, the bleachers,
and the ground would
make if the ladder were
leading against the
bleachers.
Solution Page
problem
A Volleyball is stuck on the top bleacher in Kekuhaupi‘o.
Each bleacher row is 1 ¼ ft. in height, there are 12
rows. The bleachers are closed (pushed up against the
wall). If you have ladder that is 7 ft. taller then the
bleachers, find the length of all sides of the triangle
that the ladder, the bleachers, and the ground would
make if the ladder were leading against the bleachers.
Round to the nearest hundredths.
Ladder 22 ft.
work
1.25 x 12 = 15 ft.
ladder = 15 + 7 = 22 ft tall.
15 ft.
the ladder is 22 ft. tall and
the bleachers are 15 ft. tall.
Use the formula a2 + b2 = c2
152 +b2 = 222
225 +b2 = 484
484 – 225 = 259 (square root)
= 16.09 ft.
Final Solution
152 + 16.092 = 222
225 + 259 = 484
484 = 484
Math Standards: geometry and spatial sense
Math concepts: apply basic concepts and
definitions of geometry; measure and classify
geometric figures; apply and use the
Pythagorean theorem in problem solving