
To wash a window that is 12 feet off the
ground, Lazaro leans a 20-foot ladder
against the side of the building. To reach
the window, how far away from the
building should Lazaro place the base of
the ladder?

Noelia takes a sheet of paper and cuts
from one corner to the opposite corner,
making two triangles. If the piece of
paper is 3 inches long and 4 inches wide,
how long is the diagonal cut that Noelia
made?

An envelope is 15 centimeters wide, and
it measures 17 centimeters along the
diagonal. How tall is the envelope?

Tessa takes a rectangular piece of fabric
and cuts from one corner to the
opposite corner. If the piece of fabric is
12 centimeters long and 16 centimeters
wide, how long is the diagonal cut that
Tessa made?

To wash a window that is 8 meters off the
ground, Amanda leans a 10-meter
ladder against the side of the building.
To reach the window, how far away from
the building should Amanda place the
base of the ladder?

Mrs. Tate is teaching a 5th grade class.
She is standing 12 feet in front of Fusa.
Melissa is sitting 9 feet to Fusa's right. How
far apart are Mrs. Tate and Melissa?

Aaron would have to drive due north to
get to his parents' house and due east to
get to his grandparents' house. It is 12
kilometers from Aaron's house to his
parents' house and a straight-line
distance of 13 kilometers from his
parents' house to his grandparents'
house. How far is Aaron from his
grandparents' house?

Stafford is 8 miles due north of the
airport, and Hudson is 15 miles due east
of the airport. How far apart are Stafford
and Hudson?

Whenever he visits Auburn, Trent has to
drive 56 kilometers due north from home.
Whenever he visits Yardley, he has to
drive 42 kilometers due east from home.
How far apart are Auburn and Yardley,
measured in a straight line?

On the school playground, the slide is
due west of the tire swing and due south
of the monkey bars. If the distance
between the slide and the tire swing is 12
meters and the distance between the
tire swing and the monkey bars is 15
meters, how far is the slide from the
monkey bars?

A farmer is tilling a rectangular field that
is 60 meters long and 63 meters wide.
What is the distance between opposite
corners of the farmer's field?

Nicole takes a piece of plywood that is
12 inches long and uses a table saw to
make a 20-inch cut from corner to
opposite corner. What was the width of
the piece of plywood?

Reggie is in a hot air balloon that has just
taken off and is now floating 8 meters
above its launching point. Yong Sook is
standing on the ground, 6 meters away
from the launching point. How far apart
are Reggie and Yong Sook?

Three ballet dancers are positioned on
stage. If Ronald is 4 feet straight behind
Todd and 3 feet directly left of Dominic,
how far is Todd from Dominic?

Two airplanes leave the same airport.
One heads north, and the other heads
east. After some time, the northbound
airplane has traveled 16 miles. If the two
airplanes are 20 miles apart, how far has
the eastbound airplane traveled?

Amalia is fishing from a small boat. Her
fishing hook is 15 meters below her, and
a fish is swimming at the same depth as
the hook, 8 meters away. How far away
is Amalia from the fish?

To repair a roof that is 4 meters high, Mr.
Ellis leans a 5-meter ladder against the
side of the building. To reach the roof,
how far away from the building should
he place the base of the ladder?

Candice is building a slide for her kids. If
the ladder is 5 feet tall and she wants the
bottom of the slide to be 12 feet from
the ladder, how long does the slide need
to be?

Three baseball players are playing
catch. LaVonne is 6 meters south of Gina
and 8 meters west of Alicia. How far
does Gina need to throw the ball to get
it to Alicia?

A flying squirrel's nest is 12 feet high in a
tree. From its nest, the flying squirrel glides
15 feet to reach an acorn that is on the
ground. How far is the acorn from the
base of the tree?

Donna's TV screen is 20 inches long. If the
diagonal measures 25 inches, how long is
the width of Donna's TV?

If the legs of an isosceles right triangle
are 5 inches long, approximate the
length of the hypotenuse to the nearest
whole number.

Scott wants to swim across a river that is
400 meters wide. He begins swimming
perpendicular to the shore he started
from but ends up 100 meters down river
from where he started because of the
current. How far did he actually swim
from his starting point?

In construction, floor space must be
given for staircases. If the second floor is
3.6 meters above the first floor and a
contractor is using the standard step
pattern of 28 cm of tread for 18 cm of
rise then how many steps are needed to
get from the first to the second floor and
how much linear distance will need to
be used for the staircase?

The area of a square is 81 square
centimeters. Find the length of a side.
Find the length of the diagonal.

An isosceles triangle has congruent sides
of 20 cm. The base is 10 cm. Find the
height of the triangle.

Jill’s front door is 42” wide and 84” tall.
She purchased a circular table that is 96
inches in diameter. Will the table fit
through the front door? Explain using
approximations.

Kathy Holt is getting married and her
parents are planning a garden wedding.
They rented a large tent for the
backyard and Mr. Holt wants to anchor
the tent poles. The poles are each 10
feet high and he plans to run a wire from
the top of the pole to a stake in the
ground 4 feet from the base of the pole.
How long is the wire?

As part of a community service project, the
Key Club wants to build a ramp to make the
stage in the auditorium wheelchair accessible.
The stage is 4 feet above ground level and
they want the ramp to start its slope 8 feet from
the base of the stage. To insure that the ride is
smooth, they want to buy boards that are long
enough to cover the entire distance from
where the slope begins to the top of the stage.
At the lumberyard, they discover that boards
come in lengths of 8 feet, 10 feet, 12 feet and
14 feet. What length boards should they buy?

A fireman’s ladder is 80 feet long and
must be positioned so that the foot of
the ladder is no closer than 30 feet from
the base of the building. There is a fire in
a 6 story building and each floor is 10
feet above the one below it. Will the
ladder be adequate to reach the top
floor of the building?

Two boats leave the same dock at the
same time. One travels north at 6 mph
and the other travels east at 8 mph. How
far apart will the boats be after 4 hours?

Kelly just bought a high definition TV that
has a 36 inch diagonal screen. The TV is 2
feet tall. Will the TV fit in a cabinet that is
27 and ½ inches wide?
A football field is 100 yards with 10 yards
at
each end for the end zones. The field is 45
yards wide. Find the length of the diagon
al of the
entire field, including the end zones.
