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
Sauron [17]
3 years ago
6

A 14​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 9 fee

t from the base of the building. How high up the wall does the ladder​ reach?

Mathematics
1 answer:
timama [110]3 years ago
3 0

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

hyp^2 = a^2 + b^2

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet

The wall reaches 10.7 feet high.

You might be interested in
Evaluate -6(x-2y) when x= -3 and y= -5<br> a. -42<br> b. 80<br> c. -80<br> d. -16
Vinil7 [7]
Simply substitute x for -3 and y for -5, creating the equation shown below:
     
     -6 (-3 - 2(-5) )
Now that you have your values set up, now you can do the math by starting off with Multiplying -2 by -5, which will get you 10. 

Now that you have the parenthesis simplified in the parenthesis, you can use the distributive property by multiplying all the numbers with -6, like so:
-6(-3+10)= 18 - 60, which simplifies to -42, in which (A) is your answer.
 
 
5 0
3 years ago
Read 2 more answers
Find the difference for the subtraction 7.211- 5.24
Serhud [2]

Answer:

1.971

Step-by-step explanation:

7.211 - 5.24 = 1.971

4 0
2 years ago
Read 2 more answers
Please help me taking a test
Paladinen [302]

Answer: the one that ends with 30. D the fourth one

Step-by-step explanation:

5 0
3 years ago
Estimate a 10% tip on a bill of $158.71 by first rounding the bill amount to the nearest ten dollars.
irga5000 [103]

158.71 rounded to the nearest ten dollars would be $160.00

 then to estimate 10% since 10% starts with a 1, just remove the zero from both numbers

 so 160 becomes 16

 the tip would be $16

5 0
3 years ago
Find the volume of the cone
4vir4ik [10]

Answer:

12\pi units^3

Step-by-step explanation:

V=1/3Bh

=1/3 Area of the base times height

Area of base: \pir^2=4\pi

height=9

4\pi times 9=36\pi

1/3 of 36\pi =12\pi

6 0
3 years ago
Other questions:
  • Help! more division pretty easy now do it!
    12·2 answers
  • What is the greatest common factor for 12&amp;15
    10·1 answer
  • The img has the info
    14·1 answer
  • 1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up
    9·1 answer
  • two airplanes are approaching an airport to land. the pilot of plane a records and angle of decent of 15 degrees. a person near
    15·1 answer
  • Please please help me!!!!!!!
    14·1 answer
  • Evaluate the expression for x = - 5 and y = 7 <br><br> 2x+3y-11
    5·1 answer
  • If you roll a standard die, what is P(6) ? (probability of rolling a 6)
    7·2 answers
  • Can someone help please?
    13·1 answer
  • Mr Tong had some money. After giving $1300 to each 5 of his children, he had $450 left. How much money did he have at first
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!