Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.


If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step

Johnny Uses A Mirror Placed On Level Ground To Measure The Height Of A Building. Johnny's Eyes Are 6

Answers

Answer 1

Answer:

Step-by-step explanation:

θ = angle of incidence = angle of reflection

You have two similar triangles.

tanθ = 6/4 = h/45

h = 45×6/4 = 67.5 ft

Johnny Uses A Mirror Placed On Level Ground To Measure The Height Of A Building. Johnny's Eyes Are 6
Answer 2

The required height of the building is 67.5 feet.

Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5

Thus, the required height of the building is 67.5 feet.


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Related Questions

At Kirby Middle School, some students were surveyed to see which social media app they used the most. The results are shown below. App Number of Students Face 8 Snap 22 Insta 20 Solve and explain how to calculate what percent of students used Snap the most?

Answers

Answer:

44% of students

Step-by-step explanation:

because the sum of all the students = 50, we jsut need to multiply by 2 to get 100 (which is the easiest number to get a percentage from. because we multiplied 50 by 2 we must multiply 22 by 2 which gives us 44. 44/100 =44%

Answer:

44%

Step-by-step explanation:

to solve for this you simply add the numbers together in order to get the total then once you find the total you didved the number you're trying to find the percent for by the total

Define the range of the following:

Answers

Answer:

{-2, 3, 4, 5}

General Formulas and Concepts:

Math

Number Line

Algebra I

Range is the set of y-values that are outputted by function f(x)Builder Set Notation {x}

Step-by-step explanation:

According to our graph, our y-values are 3, 4, 5 and -2. Since they are all closed dots, they are inclusive in the range:

Remember to put it in number line order.

{-2, 3, 4, 5}

Peter is writing about characters in wonder by r j palacio but somehow jack Will got that I had smiled at him

Answers

Answer:

.

Step-by-step explanation:

Answer:

Peter is writing about characters in Wonder by R. J. Palacio.But somehow Jack Will got that I had smiled at him. And he smiled back. Homework: A Necessary Evil Some people say homework is the most important teaching tool.

At the beginning of the Occupation, the Nazis basically let the Jews go about their business. This all changes in October 1940. Measures are introduced one after the other. Civil servants must sign an official declaration stating whether they are Jewish or not. Just like in Germany earlier on, Jewish civil servants and teachers are fired from their jobs. At the beginning of 1941, all Jews in the Netherlands must register.

Step-by-step explanation:

-4x+9y=9
3y-6=x

Solve the system of equations and fill in the blanks

X=
Y=

Answers

Step-by-step explanation:

the answer for x = 9

the answer for y = 5

If you spend 7.5 hours a week studying for English and 6.5 studying for math what is the ratio of time spent in math to studying for English

Answers

Answer:

6.5:7.5, or 1.3:1.5

Step-by-step explanation:

Simply find the number of hours studied for math (6.5) and hours studied for English (7.5) and put it into ratio form (6.5:7.5). Then simplify to get 1.3:1.5. Watch out for the wording.

Answer:

1.3 : 1.5

Step-by-step explanation:

Math : English

6.5 : 7.5 = 1.3 : 1.5

to make one dozen muffins 3/4 cup of blueberries will be needed how many cups of blueberries ared needed to make 48 muffins ​

Answers

You will need 6/4 or 1 1/2 cups of blueberries to make 48 muffins (2 dozen),

57/20 or 2.85 is the right answer

The factors of p2-2pq+q are​

Answers

Answer:

Unsure

Step-by-step explanation:

did you forget the q^2

if so,

(p-q)^2

if not,

you can't simplify any further

Answer:

qp 2

Step-by-step explanation:

ASAP
Can someone help me with 2-10 I understand the first problem but I'm not really sure how to do the others.

Answers

Answer:

A e3 x0 +

Step-by-step explanation:

4x (2x+1) simplify the equation

Answers

answer:

4x × 3x

explanation:

Answer:

8[tex]x^{2}[/tex]+4x

Step-by-step explanation:

Distribute 4x by 2x and by 1

Answer will be 8[tex]x^{2}[/tex]+4x

WILL MARK BRAINLYEST AND 50 POINTS
Give a detailed explanation as to why you chose the answer you chose ​

Answers

D would be the correct answer because you can use a variable (in this case they used D) in order to represent an unknown number. Because of this, you would be subtracting five from an unknown number (d). Hope this helps!

Given PQ = y, RS = 4y - 15, QR = 2 +6, and PS = 4a - 6, solve for the
length of RS and QR.

Answers

Answer:

Check pdf

Step-by-step explanation:

I need to find the volume

Answers

Answer:

[tex]941 in^{3}[/tex]

Step-by-step explanation:

What is the value of C in the equation 12c - 53 = 91?
(-2, -4)
(1, -1)
(2, -2)
(4, -4)

Answers

Answer: 12

Step-by-step explanation:

C=12 because u do 91+53 =144 then 144/12=12

C=12

Find the ratio created when AB is partitioned by C.

Write your ratio with a, : and do not include spaces.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Segment AB has been divided into four equal parts.

Let each part measures equal length = 1 unit

Point C is 2 units apart from both the points A and B.

Length of AC = Length of BC = 2 units

Therefore, point C will be the mid point of segment AB.

And ratio of AC and BC = 1:1

AC:BC = 1:1

Similarly, AC:AB = 2:4

                           = 1:2

And BC:AB = 2:4

                   = 1:2


The area (in square inches) of a rectangle is given by the polynomial function A(x) = x^2+ 10x + 24. If the width of the rectangle is (x + 6) inches, what is the length

Answers

Answer:21

Step-by-step explanation:

HELP ME PLEASE NOBODY IS ACTUALLY HELPING THIS OS SO HARD AND IM STUCK 7TH GRADE MATH

WNBA Mean:__________

WNBA Mean Absolute Deviation:_________________

NBA Mean:___________________

NBA Mean Absolute Deviation:_______________________

The variability in heights is only different by _____________ inches.

Answers

Answer:

1. 72 [tex]\frac{5}{11}[/tex]

3. 79 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The mean is found by dividing the sum of the inputs by the total number of inputs.

Answer:

enjoy your day hope the answer comes to you

Step-by-step explanation:

Which of the following are characteristics of the cubic parent function? Select all that apply .

Answers

Answer:

A C & D

Step-step explanation:

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
n = 80, p = 0.2

Answers

Answer:

mean =16

variance=12.8

standard deviation =3.578

Step-by-step explanation:

mean=np=80×0.2=16

variance= np(1-p)

=16(1-0.2)

=12.8

standard deviation =

[tex] \sqrt{12.8} [/tex]

=3.5777

=3.578

Determine the slope intercept form of the linear equation from its graph.​

Answers

Given:

The graph of linear function.

To find:

The slope intercept form of the linear equation from the given graph.

Solution:

The slope intercept form of a linear function is:

[tex]y=mx+b[/tex]

From the given graph it is clear that the graph passes through the points (1,300) and (4,800).

The equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-300=\dfrac{800-300}{4-1}(x-1)[/tex]

[tex]y-300=\dfrac{500}{3}(x-1)[/tex]

[tex]y-300=\dfrac{500}{3}x-\dfrac{500}{3}[/tex]

Adding 300 on both sides, we get

[tex]y=\dfrac{500}{3}x-\dfrac{500}{3}+300[/tex]

[tex]y=\dfrac{500}{3}x+\dfrac{900-500}{3}[/tex]

[tex]y=\dfrac{500}{3}x+\dfrac{400}{3}[/tex]

Therefore, the required equation is [tex]y=\dfrac{500}{3}x+\dfrac{400}{3}[/tex].

You walk 1/4 miles to a shoe store. Then you walk another 2/5 miles to a music store. How many miles ha r you walked in all?

Answers

Answer and Step-by-step explanation:

[tex]\frac{13}{20}[/tex], or 0.65 miles.

Convert both to common denominator, then add together.

They have a common denominator of 20.

[tex]\frac{1}{4}[/tex] × [tex]\frac{5}{5} = \frac{5}{20}[/tex]

[tex]\frac{2}{5}[/tex] × [tex]\frac{4}{4} = \frac{8}{20}[/tex]

[tex]\frac{5}{20} + \frac{8}{20} = \frac{13}{20}[/tex]

Answer:

I would walk [tex]\frac{13}{20}[/tex] or 0.65 miles.

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{5}{20}[/tex] + [tex]\frac{8}{20}[/tex] = [tex]\frac{13}{20}[/tex] or 0.65

Bryan and Serena had the same amount of money initially. After Bryan donated $258 and Serena donated $234 to charity, Serena had 4 times as much as Bryan. How much had Serena in the end?

Answers

258-234 = 24

24 divided by 4 is 6

Answer:

Serena had $32 at the end.

Step-by-step explanation:

They both had x in the beginning.

Bryan donated $258, so now he has

x - 258

Serena donated $234, so now she has

x - 234

Serena now has 4 times as much money as Bryan.

x - 234 = 4(x - 258)

x - 234 = 4x - 1032

-3x = -798

x = 266

They both had $266.

$266 - $234 = $32

Answer: Serena had $32 at the end.

I have no idea what to do help me solve this please and please provide an explanation.
Question: what is the value of x?

Answers

Answer:

x = 48 (in degrees, I assume)

Step-by-step explanation:

Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.

In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.

The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.

Therefore,       2x + 2 = x + 50

                         -x - 2 = -x -  2

                          x       =    48

The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original number. What is the original number?
26
35
53
62

Answers

Answer:

original number = 53

Step-by-step explanation:

In two digits number:

Let the tens place digit be x and units place digit be y.

So,

Original number = 10x + y

Number obtained after reversing the digits = 10y + x

According to the first condition:

x + y = 8.... (1)

According to the second condition:

10y + x = 10x + y - 18

10y + x - 10x - y = - 18

9y - 9x = - 18

-9(x - y) = - 18

x - y = - 18/(-9)

x - y = 2.......(2)

Adding equations (1) & (2), we find

x + y + x - y = 8 + 2

2x = 10

x = 10/2

x = 5

Plug x = 5 in equation (1), we find:

5 + y = 8

y = 8 - 5

y = 3

10x + y = 10*5 +3 = 50 + 3 = 53

Hence, original number = 53

Please help I’m completely stuck

Answers

Question 1:

Answer: 8x

Question 2:

Answer: 12x - 3y

hope it helps.

Practice
You bought shoes for $39 that were marked 20%
off. You have to pay
9% tax. What is the total for
the shoes?

Answers

Answer: $34

Step-by-step explanation:

39 x 0.2 = 7.80, the discount

39 - 7.80 = 31.20

31.20 x 0.09 = 2.80, the tax

31.20 + 2.80 = 34

Total cost for the shoes: $34

Answer:

24.99 dollars

Step-by-step explanation:

24 is 20 percent of 39

Hey guys can you please help me with this math problem?

Answers

Answer:

77777777

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

its a because it has a greater base value

Vertical angles are congruent.
Find the measure of angle x.
X
38°
X =
[?]
Enter

Answers

Answer:

Angle x is 38.

Step-by-step explanation:

If its congruent it means it is equal. Vertical angles are equal to each other.

The measure of x is 38°.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

Vertical angles are congruent.

x° and 38° are vertical angles.

Now,

x° = 38°

Thus,

The value of x is 38°.

Learn more about corresponding angles here:

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help and listen to anime thighs by MC Virgan

Answers

Answer:

I am nottt listening to that i already know whay that is

Answer:

C broooo

Step-by-step explanation:

There are six cups which each hold 340ml. What is the total ml

Answers

Answer:

2040ml

Step-by-step explanation:

Answer:

2,040

Step-by-step explanation:

1 cop =340

multiply 340 six times

the answer will be  2,040

300
[tex]300 \div 0.5[/tex]
what is the answer ​

Answers

600 is the answer for 300 divided by 0.5
the answer is 600 :)
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