WorksheetsPythagorean Therom in the Real World
Total questions: 15
Worksheet time: 1hrs 11mins
Name
Class
Date
1.
A group of boys are building a skate ramp onto the side of a concrete ledge. The concrete ledge is 4 feet tall. If the board they are using is 6 feet long, how many feet from the concrete will the end of the board reach?
a)
5 feet
b)
7.2 feet
c)
8 feet
d)
4.5 feet
2.
A fireman leans a ladder that is 13 feet long against a tree. The base of the ladder is 5 feet from the base of the tree. How far up the tree will the ladder reach?
a)
13.9 feet
b)
12 feet
c)
4.2 feet
d)
18 feet
3.
A square has a side length of 3 inches. What is the length of the diagonal distance across the square?
a)
6 inches
b)
4.2 inches
c)
9 inches
d)
3 inches
4.
A boat at sea drops its anchor. The rope tied to the anchor is 25 feet long. If sea floor is 20 feet below, how far in any direction can the boat drift?
a)
32.01 feet
b)
15 feet
c)
6.71 feet
d)
2.24 feet
5.
Televisions are measured by the length of their diagonal. The TV is advertised as being 36 inches and you measure the length to be 30 inches. What is the height of the TV?
a)
46.9 inches
b)
8.1 inches
c)
19.9 inches
d)
32.9 inches
6.
A telephone pole is 14 feet tall and 8 feet away from a house. If the telephone line stretches from the top of the pole to the bottom of the house, how long is the line?
a)
16.1 feet
b)
4.7 feet
c)
11.5 feet
d)
132 feet
7.
A vertical pole is to be supported by a wire that is 50 feet long and anchored 30 feet from the base of the pole. How far up the pole should the wire be attached?
a)
58.31 feet
b)
8.94 feet
c)
4.47 feet
d)
40 feet
8.
On a baseball diamond (which is just a square turned on its corner), the distance from home plate to first base is 90 feet. How far would someone have to throw a baseball to make it from second base to home plate?
a)
99.49 feet
b)
90 feet
c)
127.28 feet
d)
13.42 feet
9.
Caitlyn wants to build a fence around her flower garden, which is shaped like a right triangle, if one leg of the triangle is 9 feet long and the other is 12 feet long,how many feet of fencing will she need to finish the project?
a)
15 feet
b)
21 feet
c)
27 feet
d)
36 feet
10.
The streets in a town are arranged in square blocks. Sam leaves his house and rollerblades 4 blocks south and 3 blocks west to the athletic field. He then rollerblades 2 blocks south and 5 blocks east to the library. How far is the library from Sam's home?
a)
10 blocks
b)
14 blocks
c)
12.2 blocks
d)
7 blocks
11.
Two children are trying to cross a stream. They want to use a log that goes from one bank to the other. If the left bank is 9 feet higher than the right bank and the stream is 12 feet wide, how long must a log be to just barely reach?
a)
15 feet
b)
13 feet
c)
12 feet
d)
8 feet
12.
The area of a square is 144. What is the length of its diagonal?
a)
12
b)
16.97
c)
8.49
d)
72
13.
Find the value of x. Round all answers to the nearest tenth.
a)
3.2
b)
3.4
c)
4.2
d)
2.2
14.
Find the value of x.
a)
0.6
b)
?
c)
?
d)
?
15.
Find the perimeter of triangle ABC given that AC = 13, CD = 12 and BD = 16.
a)
?
b)
54
c)
20
d)
?
100 %
