Alyssa is 1.65 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 27.75 meters. She stands 23.5 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Alyssa Is 1.65 Meters Tall. At 11 A.m., She Measures The Length Of A Tree's Shadow To Be 27.75 Meters.

Answers

Answer 1

Answer:

The tree is 10.77 meters tall.

Step-by-step explanation:

The given diagram is an example of similar triangles. Look at the image I attached to my response to see this problem in terms of triangles.

The triangle that is formed by Alyssa and her shadow and the triangle that is formed by the tree and its shadow is an example of similar triangles because they both share an internal angle.

As per the similar triangles theorem, the ratios of the corresponding sides of both sides are proportional.

Thus, we have to make a proportion of the corresponding sides of both triangles to solve for the height of the tree. Let x = the height of the tree.

Proportion: [tex]\frac{BE}{BC} = \frac{DE}{AC}\\[/tex]

BE = 4.25 meters

BC = 27.75 meters

DE = 1.65 meters

AC = x meters

[tex]\frac{4.25}{27.75} = \frac{1.65}{x}[/tex]

Now, cross multiply to solve for x.

[tex]4.25x = 1.65(27.75)\\4.25x = 45.7875\\x = 10.77[/tex]

∴ The tree is 10.77 meters tall!

Alyssa Is 1.65 Meters Tall. At 11 A.m., She Measures The Length Of A Tree's Shadow To Be 27.75 Meters.
Answer 2

The height of the tree to the nearest hundredth of a meter is,

⇒ 10.77 meters

We have to given that;

Alyssa is 1.65 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 27.75 meters. She stands 23.5 meters away from the tree.

Now, we can make a proportion of the corresponding sides of both triangles to solve for the height of the tree.

And,  Let us assume that,

x = the height of the tree

Hence, We get;

⇒ (27.75 - 23.5) / 27.75 = 1.65 / x

Solve for x;

⇒ 4.25 / 27.75 = 1.65 / x

Cross multiply we get;

⇒ 4.25x = 1.65 x 27.75

⇒ 4.25x = 45.78

⇒ x = 10.77 meters

Thus, The height of the tree to the nearest hundredth of a meter is,

⇒ 10.77 meters

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ6


Related Questions

One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.

Answers

Answer:

3/9

Step-by-step explanation:

because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.

Adele correctly calculates the measure of angle w shown in the figure

Answers

Answer: the answer is 40

Step-by-step explanation:

first of all look at the lins and you can see that the lines are the same  

The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answers

Answer:

the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

Step-by-step explanation:

The computation of the area and the ratio of the area is shown below:

The ratio of the drawing area to the actual area is  

= ((1 cm) ÷ (4 ft))²

= (1 cm²) ÷ (16 ft²)

 Now the actual floor area is  

(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)

= (16 ft²) × 49 ÷ 1

= 784 ft²

hence, the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

If the area of a rectangle can be represented by x^2 -5x-14. What two expressions can represent the dimensions of the rectangle?

Answers

Answer:

x-7

x + 2

Step-by-step explanation:

the equation is a quadratic equation

we need to find factors of -14x² that would add up to -5x

these factors are -7x + 2x

(x² + 2x) - (7x - 14)

factorise the expressions in the bracket

x(x + 2) -7(x + 2)

(x-7 )

or x + 2

3. Over the weekend, Jada made three times as much money babysitting than Han did mowing lawns. Jada made an additional $27 selling lemonade. From babysitting and selling lemonade, she has a total of $96. If the equation 3x + 27 = 96 represents this situation, what does the variable x represent?​

Answers

Answer:

X is the amount Han made mowing lawns

because it said that she earned 3xs the amount he did. So you would take what he made times three plus the extra 27 she made from selling lemonade

Find the domain and range of y = 8x + 7.5.

plz help​

Answers

Answer:

domain                     range

0                                7.5

1                                  15.5

2                                 13.5

Answer: Domain: (-∞, ∞), Range: (-∞, ∞)

Hope this helped! :)

what is 3 13/20 as a decimal

Answers

Answer:

3.65

Step-by-step explanation:

can someone please help me with this question? (no links!!!)

Answers

V = 4/3 × 3 × 5^3

V = 4 × 125

V = 500 cm^3

Haley borrows 1000 dollars from her bank.She will pay the loan at a simple annual interest rate of 4% over 4 years.How much will she pay back altogether

Answers

Answer:

1160

Step-by-step explanation:

1000×4/100% ×4=160

add the1000+160 since they have asked altogether=1160/=

Mark can make 42 birthday cakes in 7 days. How many cakes can he make in 5 days?

Answers

I’m pretty sure the answer is 30!

Answer:

30

Step-by-step explanation:

if he can make 42 cakes = 7days

therefore x cakes. =5days

you do cross multiplication

i.e. 42x5/7 =30 days

PLEASEEEEE HELPPP MEE THIS IS LITERALLY MY 10TH TIME POSTING AND IM LOSING POINTS PLSS HELP MEEE I WOULD HAVE A MENTAL BREAKDOWN PLS

Answers

Answer:

8

Step-by-step explanation:

it's 8 because parallel lines have equal slopes

Shelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?

Answers

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

Isabella purchased 8 ¼ pints of ice-cream for a party. If each guest will be served exactly 2/4 pint of ice-cream, what is the greatest number of guests that can be served? A. 12 B. 16 C. 15 D. 14

Answers

Answer:

16 ( answerC)

Step-by-step explanation:

8 1/4 divided by 2/4 is equal to 16.5. Assuming you aren't going to be having any half-guests at your party, the answer is 16.

PS, there are weird hackers who are posting links on here to their "answers". Don't click on them or else you will get the virus.

Solve for h: V=1/3b^2h

Answers

Answer:

Step-by-step explanation:

Can someone help me solve pleaseeeee? Asap

Answers

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12x-4}{15x-5}[/tex] ← factorise numerator and denominator

= [tex]\frac{4(3x-1)}{5(3x-1)}[/tex] ← cancel (3x - 1) on numerator and denominator

= [tex]\frac{4}{5}[/tex]

can someone please help me :,) ​

Answers

Answer:

The answer is 40

Step-by-step explanation:

8+3+5+4=20

Once you added all the nunbers mutilpy by 2

20x2=40

that's how you get 40 as your answer

hope that helps ❤

Val walked dogs to save money for some books she wanted to buy. To determine how much money she will make, she used the function rule y = 6x. Find f(x) = 7.

Answers

Answer:

y=6x

y=6(7)

y=6 times 7

y=42

Answer:

42

Step-by-step explanation:

if Y=6, and fx=7, then multiply 6 and 7

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

Graph:

x   y

2  3

4   6

8  12

16 24

32 48

Step-by-step explanation:

Corrdinates for Linear: (5,2)

Hope this helps have a nice day :)

(I tried my best ;-;)

Please help it’s due today

Answers

Answer:

Angle A = 15°

use angle properties of triangle to solve this.

Step-by-step explanation:

Given Angle CBD = 30,

Angle ABC + Angle CBD = 180 (Sum of Angles on the same straight line)

Angle ABC + 30 = 180

Angle ABC = 180 - 30 = 150

Since Angle AB =~ BC,

Angle A = Angle C

Let angle A and C be x.

Angle A + Angle C + Angle ABC = 180 (Sum of Angles in a triangle)

[tex]x + x + 150 = 180 \\ 2x + 150 = 180 \\ 2x = 180 - 150 \\ 2x = 30 \\ x = 15[/tex]

Therefore Angle A = 15 degrees

Bonjour, svp aidez-moi

b) Décomposer 30 en produits de facteurs premiers.

Answers

Answer:

2 x 3 x 5

Step-by-step explanation:

30/2 = 15

15/3 = 5

5/5 = 1

NO LINKS PLEASE!

54 is equal to 75% of a number n. Write and solve an equation to find n. Write the percent as a decimal.

Answers

Answer:

Set this up as a proportion.

54/n = 75/100

Now solve for n and finish from here.

Can i also have brain or a heart :)

Answer:

x would equal 72

Step-by-step explanation:

you can find a percent but there is already a percent showing. So the answer should be 72.

When you're trying to find the answer to these problems you should check if there is a percent part and whole. In this question, there is already a percent and a part so you would just try to find the whole.

What is the scale factor of the dilation?

Answers

Answer:

Step-by-step explanation:

2/5

At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?

Answers

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

name another pair of lines that appear to be perpendicular

Answers

Answer:

parallel lines

Step-by-step explanation:

im pretty sure this is it hope this helps

I need help plz, and thank you!!

Answers

Answer:

1/2

Step-by-step explanation:

In a triangle rectagle:

Sinx= opposite leg / hypotenuse

On your case:

sin (30°)= 5/10= 1/2

Answer:

using trigonometry :

[tex] \sin(30) = \frac{perpendicular}{hypotenuse} [/tex]

[tex] \sin(30) = \frac{5}{10} [/tex]

[tex] \sin(30) = \frac{1}{2} [/tex]

What happens when the ordered pair (x,y) moves to the right?

Answers

Question is unclear

Evaluate the expression: 5 + 3 × (5 - 2)²

Answers

Answer: 32

Step-by-step explanation:

5+3*(5-2)^2

5+3*(3)^2

5+3*9

5+27

32

Answer:

32

Step-by-step explanation:

5 + 3 * (5 - 2)^2

5 + 3 * 3^2

5 + 3 * 9

5 + 2

= 32

What is the equation of the line shown in the graph?

Answers

Answer:

-6

Step-by-step explanation:

I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.

Your answer would be: y = -6x + 7   [if your question is asking for the slope intercept form]

OR

Your answer would be: -6   [if your question is asking for just the slope]

What is the following product

Answers

Answer:

download photomath for problems like these

92,63,22,80,63,71,44,35 what is the mean?

Answers

Answer:

58.75

Step-by-step explanation:

You add all the numbers and get 470 then divide it by the amount of numbers there which is 8 so 470 divided by 8 is 58.75

Other Questions
What is the relationship between real GDP and unemployment? What is discontinuity example? What force makes an object slide? What is the answer to I enter the garden there are 34 riddle? How do you reduce swelling in your cheeks from a tooth infection? Work out the area of this shape.3cm4cm7cm6cm a tile store charges $747.50 to install 115 square feet of tile. assuming they charge the same rate per square foot regardless of the amount of tile installed, how much would they charge to install 970 square feet of tile? A material is said to be ductile if ita. can be pulled out, or drawn, into a long wireb. can be hammered or rolled into flat sheets and other shapesc. can transfer heat or electricity to another materiald. is a mixture of a metal with at least one other element Who is Kwame Alexander? PLS HELP !! If t> 0 and -4 = 0, what is the value of t? Why is a good outline characterized as concisely written?because it has to give a clear and brief overview of the paperbecause it has to use bullet pointsSubibecause it has to identify the main points of each paragraph in a limited amount ofspacebecause it has to be well-organized for a contract to be valid, something of measurable value must be exchanged by the parties involved. this is the principle of Rowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put another pancake on top of it. Which one of these other pancakes would make the bottom pancake the warmest? Explain how the energy and temperature of both the bottom pancake and your chosen top pancake will change after theyve been touching for a while, and why. Is Clover overly idealistic in feeling this way or do you believe such a community can exist? According to Glassdoor research, what workplace factor matters most to employee satisfaction?A) involvement and influenceB) growth and developmentC) compensation and benefitsD) culture and values PromptWrite a paragraph that objectively summarizes Jonathan Swift's "A Modest Proposal" and explains his purpose.Review Swift's "A Modest Proposal" here. By a large margin, most business messages are? What are the four main functions of banks? Which Of The Following Would Most Likely Occur As The Direct Result Of The Second Collision. Air bubbles in the arterial blood vessels. Which of the following would most likely occur as the direct result of the second collision in a motor vehicle crash? Hi can someone fully answer the question down below