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

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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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

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Now the percentage is

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Answers

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Step-by-step explanation:

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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.

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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

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

Answers

V = 4/3 × 3 × 5^3

V = 4 × 125

V = 500 cm^3

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 ;-;)

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Answers

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

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Answers

Answer:

domain                     range

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1                                  15.5

2                                 13.5

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Hope this helped! :)

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Answers

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Answer:

30

Step-by-step explanation:

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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

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Answer:

42

Step-by-step explanation:

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

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Answers

Answer:

-6

Step-by-step explanation:

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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]

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

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

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Answers

Answer:

1160

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

8+3+5+4=20

Once you added all the nunbers mutilpy by 2

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hope that helps ❤

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Answers

Answer: 32

Step-by-step explanation:

5+3*(5-2)^2

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32

Answer:

32

Step-by-step explanation:

5 + 3 * (5 - 2)^2

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5 + 3 * 9

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= 32

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Answers

Answer:

parallel lines

Step-by-step explanation:

im pretty sure this is it hope this helps

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

What is the following product

Answers

Answer:

download photomath for problems like these

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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.

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Answers

Answer:

Step-by-step explanation:

NO LINKS PLEASE!

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Answers

Answer:

Set this up as a proportion.

54/n = 75/100

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Can i also have brain or a heart :)

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Step-by-step explanation:

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

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Answers

Answer:

x-7

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Step-by-step explanation:

the equation is a quadratic equation

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factorise the expressions in the bracket

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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)

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= (16 ft²) × 49 ÷ 1

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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 is the scale factor of the dilation?

Answers

Answer:

Step-by-step explanation:

2/5

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

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

Answers

Question is unclear
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