Worksheets8th - 4.9 - Pythagorean Theorem Real World
Total questions: 11
Worksheet time: 22mins
The bottom of a 17-foot ladder is placed on level ground 8 feet from the side of a house as shown in the figure below. Find the vertical height at which the top of the ladder touches the side of the house.
h = 9 feet
h = 12 feet
h = 15 feet
h = 18 feet
Which of the following equations could be used to find the value of w?
w2+182=202
182−w2=202
202+182=w2
w + 18 = 20
John has a chest where he keeps his antiques. What is the measure of the diagonal (d)
of John's chest with the height (c) = 3ft, width (b) = 3ft, and length (a) = 5ft.?
√42 ft
√44 ft
√34 ft
√43 ft
Mary has a lawn that has a width (a) of 30 yards, and a length (b) of 40 yards. What
is the measurement of the diagonal (c) of the lawn?
50 yards
49 yards
51 yards
50yards2
A construction company needed to build a sign with the width (a) of 9 ft, and a length
(b) of 20 ft. What will be the approximate measurement of the diagonal (c) of the sign?
23 ft
22 ft
20 ft
19 ft
An unofficial baseball diamond is measured to be 50 yards wide. What is the approximate measurement of one side (a) of the diamond?
34 ft
35 yards
35 ft
36 yards
The neighborhood swimming pool is 20 ft wide and 30 ft long. What is the approximate
measurement of the diagonal (d) of the base of the pool?
36ft
35ft
34ft
34 yards
To get to her friend's house, a student must walk 20 feet to the corner of their streets,
turn left and walk 15 feet to her friend's house.
How much shorter would it be if she could cut across a neighbor's yard and walk a
straight line from her house to her friend's house?
5 feet shorter
10 feet shorter
25 feet shorter
35 feet shorter
Your school principal wants the custodian to put a new flag up on the flagpole. If the
flagpole is 40 feet tall and they have a 50 foot ladder, approximately how far from
the base of the pole can he place the base of his ladder in order to accomplish the task?
Up to 10 ft away
Up to 20 ft away
Up to 30 ft away
Up to 40 ft away
Your kite is at the end of a 50 ft string. You are 25 ft from the outside wall of a building
that you know makes a right angle with the ground.
How high is the kite approximately?
Approx. 39 ft high
Approx. 40 ft high
Approx. 42 ft high
Approx. 43 ft high
Match the following word problem with the correct equation that you would use to solve it.
One house is 15 miles due north of the park. Another house is 9 miles due east of the park. How far apart are the houses from each other?
92 + 152 = x2
The foot of a ladder is put 9 feet from the wall. If the ladder is 15 feet long how high up the building will the ladder reach?
92 + x2 = 152
If you drive your car 40 miles south and then 38 miles east, how far would the shortest route be from your starting point?
402 + 382 = x2
The diagonal of a TV is 40 inches. The TV is 38 inches long. How tall is the TV?
x2 + 382 = 402
