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
vichka [17]
3 years ago
8

how high up a vertical wall will a 30-foot ladder reach if the foot of the ladder is placed 6 feet from the wall

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

The height of wall where 30-foot ladder reaches is 29.39 foot.

Step-by-step explanation:

 Consider a  triangle ABC showing AC be the 30 foot ladder that is resting on a wall AB and foot of ladder is 6 foot  from the wall that is BC = 6

We have to find the height of wall where ladder is reaching.

Since building and foot of   ladder makes a right angle at B.

Let AB be x foot.

PYTHAGORAS THEOREM STATES THAT THE SUM OF SQUARE OF BASE AND PERPENDICULAR IS EQUAL TO THE THE SQUARE OF HYPOTENUSE.

Applying Pythagoras theorem,

(AC)^2=(AB)^2+(BC)^2

\Rightarrow (30)^2=(x)^2+(6)^2

\Rightarrow 900=(x)^2+36

\Rightarrow 900-36=x^2

\Rightarrow 864=x^2

\Rightarrow \sqrt{864}=x

\Rightarrow \sqrt{864}=x

\Rightarrow 29.39=x

Thus, the height of wall where 30-foot ladder reaches is 29.39 foot.

You might be interested in
The distance across a swimming pool is 6 1/3 yards. If ward swims back and forth across the pool 10 1/2 times, what distance, D,
Sloan [31]
It is about 66.5 yards.
7 0
3 years ago
Read 2 more answers
Which represents the measures of all angles coterminal with a 400° angle?
ozzi
It’s c, for any integer,n
4 0
3 years ago
Read 2 more answers
Fill in the blanks below in order to justify whether or not the mapping shown
defon

Answer:

Yes it is showing a function

Step-by-step explanation:

3 0
3 years ago
Brainlest for answered
Helen [10]

Answer:

Hello! answer: 4/5

Step-by-step explanation:

20 ÷ 5 = 4 25 ÷ 5 = 5 that is 4/5 therefore 4/5 is the answer because we cannot reduce any further HOPE THAT HELPS!

4 0
3 years ago
Read 2 more answers
Find the common factor of all the terms of the polynomial 16x2 - 14x.
zysi [14]

Answer:

2x(8x-7)

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.70 m/s2. at the same inst
    6·1 answer
  • Jumlah suhu badan robert dan dodi 133,2°F. Saat itu robert dalam keadaan flu sehingga suhu badannya 39°c. Berapa derajat celcius
    13·2 answers
  • -6b+2&lt;56 <br> Please help!!!!!
    11·1 answer
  • 10x - 2(5x + 2) = 12
    15·2 answers
  • as a student you're able to earn extra money by assisting your neighbors with odd jobs if you charge $10.25 an hour for your ass
    12·1 answer
  • What is the measure of angle aec?
    14·2 answers
  • You want to know if environmental conditions affect feeding behavior in rats. You conduct a study measuring the amount of food p
    14·1 answer
  • What is:<br> (s+12)+(3s-8)<br> simplified?
    11·1 answer
  • X^2 + 8x + 7 = 0
    10·1 answer
  • Ophira’s insurance company has notified her that her premiums will increase due to a poor insurance score and a recent claim she
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!