1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
postnew [5]
3 years ago
10

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the bui

lding. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.
a.4.1 feet
b.17.0 feet
c.20.6 feet
d.21.4 feet

Mathematics
2 answers:
algol133 years ago
8 0

Answer:

c. 20.6 feet

Step-by-step explanation:

Ok, take at look at the picture I attached you. As you can see, the length of the ladder, the distance from the floor to the top of the ladder and the distance from the building to the base of the ladder, together, form a  right-angled triangle. So, in order to find how high up on the building does the ladder reach, we need to find the height h using Pythagorean Theorem:

a^2+b^2=c^2

Where:

c=Length\hspace{3}of\hspace{3}the\hspace{3}hypotenuse

a\hspace{3}and\hspace{3}b\hspace{3}are\hspace{3}the\hspace{3}lengths\hspace{3}of\hspace{3}the\hspace{3}remaning\hspace{3}two\hspace{3}sides

So, let:

b=4ft

a=h

and we know:

c=21ft

Replacing the data in the equation:

21^2=h^2+4^2

Solving for h:

h^2=21^2-4^2\\\sqrt{h^2} =\sqrt{441-16} \\h=\sqrt{425} \\h=20.61552813ft\approx20.6ft

solmaris [256]3 years ago
4 0

Answer:

sorry im late but the answer is C. 20.6

Step-by-step explanation:

You might be interested in
Please simplify 6-(2-4x)
umka2103 [35]

I'm pretty sure the answer would be 4+4x

6 0
2 years ago
Read 2 more answers
What is the base area of Box 3?
s2008m [1.1K]
Do you have a picture I can’t see it my guy
5 0
3 years ago
Read 2 more answers
A machine takes 2.8 hours to make 9 parts at that rate,how many parts can machine make in 28.0
BigorU [14]
The answer is 90.
28/2.8 = 10
10 x 9 = 90
4 0
2 years ago
In the equation Y+8=2 what does y=?
Jet001 [13]
Y = -6 hope this helps
5 0
3 years ago
a computer and printer a totoal cost $1132 the cost of the computer is three times the cost of the ptinter
zavuch27 [327]
Use a system of equations

C+P=1132
3P=C

Substitute C in first equation as
3P+P=1132
Simplify
4P=1132
Solve
P=1132/4
P=283

NOW SOLVE FOR C SUBSTITUTING P VALUE IN FIRST EQUATION

C+283=1132
C=1132-283
C=849


Printer = 283$
Computer = 849$
3 0
2 years ago
Other questions:
  • Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal.
    10·1 answer
  • What method most efficient to use to solve x^2+4x+3=0
    14·1 answer
  • How many times would you have to cross the Golden Gate Bridge in order to travel the exact distance between Wolverhampton and Bi
    7·1 answer
  • A company that makes​ hair-care products had 4,000 people try a new shampoo. Of the 4,000 ​people, 28 had a mild allergic reacti
    5·1 answer
  • Given HJK TRS, find the values of x and y
    7·1 answer
  • Every real number has a reciprocal except for zero. This is because zero in the denominator is undefined. True or false
    14·2 answers
  • What is the ratio of 2 hours and 115 minutes​
    8·1 answer
  • Can someone help me with this question? Will give brainliest.
    5·1 answer
  • Select ALL the correct answers.
    11·2 answers
  • Someone help my younger brother I don’t feel like helping him<br><br>( no bots please )
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!