Pythagorean Theorem Word Problems - Homework 5/1

1. A 13 foot ladder is placed 5 feet

away from a wall. How high

up the wall will the ladder go?

Write the NUMBER ONLY. If necessary round your answer

to the nearest tenth.

Tags

CCSS.8.G.B.8

2. How far from the base of a barn

do you need to put a 16 foot

ladder so that the top of the

ladder will be 13 feet high? Write the NUMBER ONLY. If

necessary, round your answer to

the nearest tenth.

Tags

CCSS.8.G.B.8

3. A ladder goes up the side of a

house exactly 8 feet. The base

of the ladder is 6 feet away

from the side. How long must

the ladder be? Write the NUMBER ONLY. If necessary,

round your answer to the

nearest tenth.

Tags

CCSS.8.G.B.8

4. A bird starts flying away from a

tree and goes exactly 6 miles

south. It then turns and flies

exactly 3 miles east. What is

the shortest distance it needs to

fly to return to the original

tree? Write the NUMBER ONLY. If necessary, round your

answer to the nearest tenth.

Tags

CCSS.8.G.B.8

5. A boat leaves a port and goes

exactly 5 miles north. After, it

goes exactly 8 miles west.

What is the shortest distance

the boat would need to travel to

return to port? If necessary,

round your answer to the

nearest tenth. Write the NUMBER ONLY.

Tags

CCSS.8.G.B.8

6. A window is 48 inches by 36

inches. What is the length of

the diagonal of the window? If

necessary, round your answer to

the nearest tenth. Write the NUMBER ONLY.

Tags

CCSS.8.G.B.8