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
max2010maxim [7]
3 years ago
6

A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i

s the building, h, to the nearest foot?
Mathematics
2 answers:
taurus [48]3 years ago
8 0

Answer:

The height of building to the nearest foot is h = 36 foot

Step-by-step explanation:

We have given,

Length of ladder leaning against a building, l = 45 foot

Bottom length between ladder and the building , b = 27

Now, we need to find the height of building to the nearest foot.

Let the height of building be h.

Using Pythagoras theorem,

l^{2} = b^{2} +h^{2}

Here, l = 45 , b = 27 and h =?

So,

45^{2} = 27^{2} +h^{2}

h² = 45² - 27²

h = √(45² - 27²)

h = 36

The height of building to the nearest foot is h = 36 foot

wlad13 [49]3 years ago
7 0

Answer:

36 foot

Step-by-step explanation:

A ladder is leaning against a building  which makes right triangle.

The length of ladder denotes hypotenuse of triangle.The bottom of the ladder from the base of building denotes base of the triangle. We have to find the height of the building which is perpendicular of triangle.

Hypotenuse = 45 foot , Base = 27 foot and Perpendicular = ?

Using Pythagorean theorem, we get

hypotenuse² = base² + perpendicular²

putting above values in theorem,we get

45² = 27² + perpendicular²

2025 = 729 + perpendicular²

2025 - 729 = perpendicular ²

1296 = perpendicular²

taking squareroot to both sides of above equation ,we get

√1296 = √perpendicular²

36 foot = perpendicular

Hence,the height of building is 36 foot.

You might be interested in
I need help on functions 50 points
Stolb23 [73]
It’s not loading for me,it’s prob my wifi or phone, I’ll try to solve when it loads
5 0
3 years ago
Read 2 more answers
Translate The sum of two consecutive integers is 33
Illusion [34]
The total of two whole numbers one after another is 33. for example 10 + 11 (two consecutive integers) = 21
5 0
3 years ago
Read 2 more answers
What is 2 thirds of 60
Mkey [24]
You have to set up a proportion so 2 over 3= x over 60. So multiply 2 times 60= 120 divided by 3 which is 40
6 0
3 years ago
Y = (x - 1) to the second power + 2
Nikolay [14]
Y = (x - 1)² + 2
y = (x² - x - x + 1) + 2
y = (x² - 2x + 1) + 2
y = x² - 2x + (1 + 2)
y = x² - 2x + 3
x² - 2x + 3 = 0
x = <u>-(-2) +/- √((-2)²  4(1)(3))</u>
                     2(1)
x = <u>2 +/- √(4 + 12)</u>
                2
x = <u>2 +/- √(16)
</u>             2<u>
</u>x = <u>2 +/- 4
</u>           2<u>
</u>x = 1 <u>+</u> 2
x = 1 + 2      x = 1 - 2
x = 3            x = -1
y = x² - 2x + 3
y = (3)² - 2(3) + 3
y = 9 - 6 + 3
y = 3 + 3
y = 6
(x, y) = (3, 6)
or
y = x² - 2x + 3
y = (-2)² - 2(-1) + 3
y = 4 + 2 + 3
y = 6 + 3
y = 9
(x, y) = (-1, 9)
5 0
3 years ago
If f (x) = ( 3 - x)² . what is f (5)?​
natali 33 [55]

Answer:

4

Step-by-step explanation:

(3 - 5)^2

-2^2 = 4

5 0
3 years ago
Other questions:
  • Describe how to find the Greatest common factor if two numbers by using prime factorization
    12·1 answer
  • Round 6.081 to the nearest hundredth
    11·2 answers
  • Am i correct? will mark brainliest
    5·2 answers
  • in the month of November a dance troupe had 150 members. In December there was a 20% decrease in the members. In January there w
    15·1 answer
  • During this past winter, Tatsu measured how many inches of snow came down after each snowfall. Her results were 8, 3, 2, 5, 10,
    15·1 answer
  • The slope of the line that passes through the points (3,14) and (7,9) is
    8·1 answer
  • Solve: 2x + 1 = 3x - 2
    10·2 answers
  • What is the equation of the line in slope-intercept form?
    15·1 answer
  • Help?? pleaseeeee cant fudge it out lol
    6·1 answer
  • 1. Each cube has 6 faces. If Tandra
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!