A construction worker lowers a 100-foot rope from the top of a building. Another worker attaches the bottom of the rope to the ground, 23 feet from the base of the building. What is the height of the building rounded to the nearest foot?

Answers

Answer 1

Answer:

  97 ft

Step-by-step explanation:

The Pythagorean theorem is useful for working problems like this. It tells you the relationship between side lengths and the hypotenuse of a right triangle.

Here, the building is presumed to be perpendicular to the ground, so the 100' rope is the hypotenuse of a triangle with legs equal to 23' and the height of the building (b).

  23² +b² = 100²

  b = √(10000 -529) ≈ 97.32

The height of the building is about 97 feet.


Related Questions

A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.​ A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake on the scale drawing? Explain or show your reasoning.

Answers

Answer: Actual length of the bus = 171.67 feet

Width of the lake on the scale drawing = 12.5 inches

Step-by-step explanation:

Given : A scale drawing of a school bus has a scale of 12 inch to 5 feet.

i.e. 12 inch = 5 feet

[tex]\Rightarrow \text{ 1 inch}=\dfrac{5}{12}\text{ feet}[/tex]

If length of school bus on scale drawing = 412 inches

Then, Actual length of bus = [tex]\dfrac{5}{12}\times412=171.67\ \text{feet}[/tex]

A scale drawing of a lake has a scale of 1 cm to 80 m.

If the actual width of the lake is 1,000 m

then, the width of the lake on the scale drawing = [tex]\dfrac{1000}{80}=12.5\text{ inches}[/tex]

is the perpendicular bisector of a line a line segment also an angle bisector

Answers

Answer:

no

Step-by-step explanation:

Solve by factoring:
x² – 5x - 14=0
O A. x = 7,X = -2
B. x = -7, x = 2
O C. x = -1, x = 14
O D. x=-14, x = 1
Answer ASAP!

Answers

Answer:

A

Step-by-step explanation:

Given

x² - 5x - 14 = 0

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are - 7 and + 2, since

- 7 × 2 = - 14 and - 7 + 2 = - 5, thus

(x - 7)(x + 2) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

Answer:

A. x=-7, x=2

Step-by-step explanation:

how do you solve distributive properties ?? and pre algebraic expressions/equations i have a test over it all and i'm in 7th grade plz help ASAP

Answers

Answer:

I was totally in your shoes then..

Step-by-step explanation:

Watch Fort Bend Tutoring on YT, he got me through those math problems...I can assure it will help, and he makes Math fun

Question 7(Multiple Choice Worth 1 points)
(01.05 MC)The total charge on 4 particles is -36 units. All the particles have the same charge.
What is the charge on each particle?
0-9 units
-8 units
08 units
9 units

Answers

Answer:

-9 units

Step-by-step explanation:

[tex] - \frac{36}{4} = - 9 \\ [/tex]

The different of two numbers is 18
and the difference of six times
the larger number and two times
the smaller number is 156. Find the
two numbers​

Answers

Answer:

Step-by-step explanation:

[

37 and 15

What is the slope of the line graph?

Answers

Answer:

The slope of the line graph is (12,-6)

Step-by-step explanation:

If you start at the bottom point and go up you will count 12. Then, if you go 0ver until you get to the top point you will count 6. Since you are going back, it would be a -6.

Can someone please help me on the question that i asked ???? pleases will mark brainleist

Answers

Answer:

2.75

Step-by-step explanation:

Here you go!
(3/4) / (1/3)
(3/4) * 3 = 9/4 = 2 1/4

What is the formula of the compound formed from Cobalt(lll) and lodine?

Answers

Answer:

Cobalt (III) iodide CoI₃

Step-by-step explanation:

The name of the compound formed between Cobalt(III) and Iodine is known as Cobalt (III) Iodide.

The Iodide ion gains three electrons from the cobaltThey both an electrovalent compound when they react.This compound is soluble in water due to the ionic bonds. Cobalt is a transition metal found in the d- blockIodide is a halogen that belongs to group 7.

Using the table below, what is Esmeralda's take-home pay?

Answers

Answer:

?

Step-by-step explanation:

we cant anseer inless u give us the question

Answer:

40,260

Step-by-step explanation: cus i said so

What is the range of the function shown on the graph above ?

Answers

Ummm...person...you do know  we need to see the graph, not the answers, right?

Answer:

Step-by-step explanation:

It's the-9 one

Solve this equation. Enter your answer in the box. 1/3 (y+7)=3(y−1)

Answers

Answer:

y=2

Step-by-step explanation:

y+7=9(y-1)

y+7=9y-9

16=8y

2=y

What’s is the answer for 9-(-3)

Answers

Answer:

negative times A negative is a positive so your answer is 27

Step-by-step explanation:

What is the equation of a line with a slope of -2 that passes through the point (6, 8)?
O 2x + y = 20
O y-2x = 4
O y-2x = 20
O 2x + y = 4

Answers

Answer:

2x + y = 20

Step-by-step explanation:

gradient = -2

x = 6, y = 8

y - 8 = -2(x - 6)

y - 8 = -2x + 12

2x + y = 12 + 8

2x + y = 20

Answer:

2x + y = 20

Step-by-step explanation:

hope that will help you

fastest land animal in the world answers

Answers

Answer:

Cheetah

Step-by-step explanation:

The cheetah or the Acinonyx jubatus can run up to 50 - 80 mph on land

Brainliest?

the cost, c(x) for a taxi ride is given by c(x) = 3x + 2.00 where x is the number of minutes.
on a piece of paper, graph c(x) = 3x + 2.00. then determine which answer matches the graph you drew, including the correct axis labels.

Answers

Answer:

C

Step-by-step explanation:

Because its a cost vs minutes graph, and it starts at (0,2) and goes to (1,5)

Answer:A

Step-by-step explanation:

Factor and Solve.
x^4+7x^2+10=0

Answers

Answer:

second one

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

x^4+7x^2+10=2

use the quadratic formula

hope this helps

brainliest?

Can somebody answer ASAP!!!!!!

Answers

Using the rules of exponents, we can take 3^4 / 3^9 and combine the exponents using the the same base.
3^(4-9)
= 3^-5

Move the 3^-5 into the denominator and expand.
1 / 3^5
= 1 / 243

Your answers are (1 / 3^5) and 1/243.

Write an equation of the line passing through the points (3,8) and (-2,-22)

Answers

Answer:

y=6x+8 or y=6x-22

Step-by-step explanation:

use the equation y=mx+b

m is the slope and b is the y-intercept

to find the slope use the equation m = y2-y1 over x2-x1

-22 - 8 / -2 - 3 = -30 / -5 = 6

6 is your slope and for the y-intercept you can choose whichever y-intercept to put into the equation.

HOPE THIS HELPS!!

14=−2c−6−3c what is the value of c?

Answers

Answer:

C=-4 (I'm not sure why my negative symbols are not showing up properly, the answer is C equals a negative four.)

Step-by-step explanation:

14=-2c-6-3c

14=-5c-6

5c+14=-6

5c=-20

c=-4

58 (6x+2)
Find the value x

Answers

x = 9 1/3, 6x+2 = 58, 6x = 56, then divide both sides by 6
58(6x + 2)
(6x+2)=58
-2+6x=58
-2+2+6x=58+2
6x=58+2
58+2=6x
6x divided by 60
And this is your Final Answer
X=10

— 3х - 6 +(-1)
Helpp
Can anybody help me?

Answers

Answer:

[tex] - 3x - 5[/tex]

it should be this answer bcause it has been simplified

I WILL AWARD BRAINIEST PLEASE HELP

Answers

Answer:

12

Step-by-step explanation:

zeros are the x-intercepts of any function. to find the x-intercept of this given function, we have to set y equal to 0.

0= -1/2x+6

-6=-1/2x

12=x

x=12

the x-intercept is (12,0), meaning 12 is the zero of this function.

For a data set of weights? (pounds) and highway fuel consumption amounts? (mpg) of eight types of? automobile, the linear correlation coefficient is found and the? P-value is 0.001. Write a statement that interprets the? P-value and includes a conclusion about linear correlation.The? P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is nothing?%, which is ? low, high, so there ? is not is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles

Answers

Answer:

The correct option is;

Low

Step-by-step explanation:

Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low

From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation  is very low.

x−1.2=3 i dont understand this stupid math problem

Answers

Answer: If you have to solve for X the answer is x=4.2

Step-by-step explanation:

how far is the points (5,3) from the origin?​

Answers

Answer:

origin 0.0

Step-by-step explanation:

then difference u ccan find

Write an equation of the line with the given slope and y-intercept. slope: -7 y-intercept: 2​

Answers

Answer:

y= -7x+2

Step-by-step explanation:

Answer:

y = -7x + 2

Step-by-step explanation:

The y-intercept is 2. The slope is x which is -7.

Write the equation now.

-7x + 2.

~I hope I helped you! :)~



At her birthday​ party, Ms. Willow would not give her age directly. She​ said, 'If you add the year of my birth to this​ year, subtract the year of my 25th birthday and the year of my 55th ​birthday, and then add my present​ age, the result is 58​.

Answers

Answer:

69 years

Step-by-step explanation:

Given that:

Let year of birth = x

This year = 2020

Year of 25th birthday = x + 25

Year of 55th birthday = x + 55

Present age = 2020 - x

Hence,

x + 2020 - (x + 25 + x + 55) + (2020 - x) = 58

x + 2020 - (2x + 80) + (2020 - x) = 58

x + 2020 - 2x - 80 + 2020 - x = 58

-2x + 4040 - 80 = 58

-2x + 3960 = 58

-2x = 58 - 3960

-2x = - 3902

x = 1951

Birth year = 1951

,

Hence, age =

2020 - 1951 = 69 years

Are these lines parallel,
perpendicular, or neither?
Line 1 passes through (0,3) and (3,1)
Line 2 passes through (-1,4) and (-7,-5)

Answers

Answer - Perpendicular

First, find the slope of each line by using the point slope formula [(y2-y1)/(x2-x1)]. You should get that the slope line 1 is -2/3 and the slope of line 2 is 3/2. Using this, we can conclude that both the lines are perpendicular because their slopes are opposite reciprocals (meaning you flip one fraction and change its sign to get the other fraction).

Help Needed !Find The Measure Of The Indicated Angle

Answers

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Add the two angles

80+50=130

The total degree of a triangle is 180 so subtract

180-130=50

(its also an isosceles triangle)

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