Worksheets3D Applications of Pythagorean Theorem
Total questions: 20
Worksheet time: 20mins
What is the distance between the sailboat and the top of the lighthouse? (Round to the nearest tenth).
205m
181.7
33025m
5m
The dimensions of a flatscreen television are 15 in and 20 in. What is the length of the diagonal across the TV?
√144in
√125 in
25in
35in
What is the distance between the person and the top of the tree?
1000ft
100ft
42.7ft
31.6ft
A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)
180 feet
90 feet
13.4 feet
127.3 feet
The diagram below shows a telephone pole supported by a guide wire. The telephone pole is 40 feet tall and the bottom of the guide wire is 12 feet from the base of the pole.
How long is the guide wire?
Nearest tenth
Find h (hint: it is NOT 60 ft!)
During a recent storm, a tree was blown over. The top of the tree landed 18 feet from the bottom of the tree.
Which is the closest to the original height of the tree?
Nearest whole number
Betsy has raised a flag on a 91-foot-high flag pole. The flag pole is supported by 5 wires, each of which is attached to the flag pole at a place that is 19 feet from the top of the pole and attached to the ground at a place that is 54 feet from the base of the pole. Find the total length of all 5 wires.
450 feet
225 feet
338 feet
90 feet
Find the area of the missing square off of leg A if the area of one square is 369 and the area of another is 81?
21.2
17
450
288
Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.
10.1
11.18
7.8
3.93
Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.
8
9
7
10
Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.
3.4
6.3
.8
1.4
Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.
12.5
9.85
10.95
5.65
Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.
9.3
10.3
9.7
8.7
Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.
3.3
2.7
.9
14.3
Ashley is building a garden and she wants it to be 40' long. She knows that the diagonal measure of the plot is 50'. What is the width?
30 feet
50 feet
40 feet
20 feet
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
111.8 yards
115 yards
127.3 yards
119 yards
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
25 feet
26 feet
27 feet
28 feet
What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?
15.6 in.
6.6 in.
44 in.
16 in.
Find the length of the slant height for edge AV. (HINT:The altitude height of the pyramid is 12 meters.)
10.9
119
13
169
