Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 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.

Answers

Answer 1

Step-by-step explanation:

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

her shadow is 23.05 - 18.9 = 4.15 m long.

the factor between the shadow lengths is then

4.15 × f = 23.05

f = 23.05 / 4.15 = 5.554216867...

the same factor now applies to the relation of the heights :

1.45 × 5.554216867... = 8.053614458... m

rounded the tree is 8.05 m tall.


Related Questions

Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?

Answers

Answer:

7 rides

Step-by-step explanation:

38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.

7 rides is the answer.
Explanation in steps: 38/5=7 with a remainder of 3. He can only take 7 rides because he needs 5 tickets to ride.

does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?​

Answers

Answer: only has one solution

Step-by-step explanation:  If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution

Answer:

x has infinite values.

Step-by-step explanation:

7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||

In this case this we have the same eqations on both sides, x = anything.

In other words, x have infinite values.

heeeeeelllllppppppp please​

Answers

Answer: D. <Q ≅ <T

Step-by-step explanation:

This satisfies the ASA Congruency Theorem.

14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55

Answers

Answer:

The second one or B

Step-by-step explanation:

1/4 = 0.25 then 0.55 then 79% = 0.79

WHAT IS 10x+55 = 100​

Answers

Answer:

[tex]x=\cfrac{9}{2}\: or\: x=4.5[/tex]

Step-by-step explanation:

[tex]10x+55 = 100[/tex]

[tex]10x+55-55=100-55[/tex]

[tex]10x=45[/tex]

[tex]\cfrac{10x}{10}=\cfrac{45}{10}[/tex]

[tex]x=\cfrac{9}{2}[/tex]

HOPE IT HELPS!

Subtract 55 from both sides.

10x=100-55

Simplify 100-55 to 45.

10x=45

Divide both sides by 10.

[tex]x = \frac{45}{10} [/tex]

Simplify

[tex]x = \frac{9}{2} [/tex]

May I please receive help?

Answers

Answer:

Length of the shadow = 20.5 cm

Step-by-step explanation:

Given the 32-meter height of a tall building, and its casted shadow of 38 meters, we can find the unknown length of the shadow by using the Pythagorean Theorem.

Definition:

The Pythagorean Theorem states that the squared length of the hypotenuse of a right triangle is equal to the sum of the squared lengths of the legs.

The algebraic representation of the Pythagorean Theorem is:  

                     c² (hypotenuse) = a² (leg₁) + b² (leg₂)

Solution

To solve for the given problem:

Let c = 38 m (distance from the top of the building to the tip of the shadow)

a = unknown length of the shadow

b = 32m (height of the building)

Since we have to solve for the value of a (unknown length of the shadow), we must algebraically solve for a:

c² = a² + b²

Subtract b² from both sides:

c² - b² = a²  + b² - b²

a² = c² - b²

Substitute the given values into the formula for solving a :

a² = c² - b²

a² = (38)² - (32)²

a² = 1444 - 1024

a² = 1444 - 1024

Next, take the square root of both sides to solve for a:

[tex]\displaystyle\mathsf{\sqrt{(a)^2}\:=\:\sqrt{420}}[/tex]

a = 20.49 or 20.5 cm

Therefore, the length of the shadow is 20.5 cm.

Evaluate 5−1/−90. Write your answer as a fraction in simplest form.

Answers

Answer:

2/-45

Step-by-step explanation:

5-1 = 4

4/-90 = 2/-45

Hope that helps

At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?

Answers

2.25 is the answer to your question

Answer:

47.25

Step-by-step explanation:

Heres how I found the answer:

if sales tax is 5%, then we need to find 5% of 45 and add it to 45!

5% of 45= 2.25

(I found this by doing 45*5%, or 45*.05)

Now, add 2.25 to 45!

Total bill=47.25 dollars

Hope I could help!

is it Substitution or linear combination?​

Answers

Answer:

Substitution

Step-by-step explanation:

You would solve this system using the substitution method as one of the variables are define.

In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.

10x1+2x60/10

Hi! Um I have only four questions on an assignment thats due Friday, this is one of them and I keep getting stuck, can someone please help me out?

Answers

Answer:

2

Step-by-step explanation:

Sally's Stuffed Animal Company charges $0.75 per pound to ship stuffed animals. Part A: Write an equation to determine the total cost, c, to ship p pounds of stuffed animals. Use your equation to determine the cost of shipping 2 pounds of stuffed animals. (6 points) Part B: If the company reduces the cost to ship the stuffed animals by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of stuffed animals with the reduced cost. (4 points)

Answers

Part A :

Rate of shipping per pound of stuffed animal = $0.75

Therefore total cost for P pounds = C = 0.75 P

Cost of shipping 2 pounds of stuffed animals = 0.75*2 = $1.50

Part B :

If the cost is reduced by $0.05 per pound then the reduced cost per pound = 0.75 - 0.05 = $0.70

Therefore total reduced cost for P pounds = C = 0.70 P

Answer:

i think the person on top of me is correct :)

Step-by-step explanation:

identify the coefficient in the term 7x^2y^3

Answers

The coefficient in the term 7x^2y^3 is  7

The term of the expression or equation is given as:

7x^2y^3

For an expression represented as 2x, the coefficient is 2.

Similarly, the coefficient in the term 7x^2y^3 would be 7

Hence, the coefficient in the term 7x^2y^3 is  7

Read more about terms and coefficients at:

https://brainly.com/question/13602562

what is the tangent ratio of angle x°​

Answers

Answer:

tan x = 3/4

Step-by-step explanation:

The hypotenuse of the triangle is 10 ft.

For angle x, the opposite leg is 6 ft, and the adjacent leg is 8 ft.

tan A = opp/adj

tan x = 6 ft / 8 ft

tan x = 3/4

Tan=opposite/adjacent. Opposite=6, adjacent=8. Tan=6/8. We can divide both terms by 2 to simplify to tan=3/4

Erin and Jamie are collecting shells while the tide is out Erin has 27 shells and she has 9 more shells than Jamie write an equation for this situation and find how many shells Jamie has collected

Answers

Answer:

27-9= 18

Step-by-step explanation:

Erin's total shells is 27, her total is 9 more shells than Jamie has. Thus you subtract 9 from 27 to get the number of shells Jamie collected.

(WILL GIVE BRAINLIEST)


The points (2, -4), (x,y), A and B all lie on the line in the applet below. Find an equation relating x and y

Answers

Answer:

y=3/4x-5.5 this should be your answer

Step-by-step explanation:

sorry of im wrong

have a wonderfull day!

Which pairs of angles are alternate interior angles? Select all that apply.

A. 3 and 6
B. 3 and 8
C. 4 and 5
D. 4 and 7
E. 1 and 8

PLEASE HURRY!!

Answers

B ??? i’m not sure bout this

what is greater -5 1/2 or -6.5

Answers

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What did the wall say to the bookcase 4. 2 puzzle time answers.

Answers

Answer:

meet you at the corner

Step-by-step explanation:

WILL GIVE BRAINLIEST! what are the values of a and b so the system of equations has infinitely many solutions?
y=6x+b
y=ax+3/4

Answers

Answer:

a = 6

b = 3/4

Step-by-step explanation:

They both need to have the same slope.

The slope in the first equation is 6

That means that the second equation must have a = 6

They both need to have the same y intercept

The second equation has a y intercept of 3/4

Therefore b in the first equation, must be 3/4

Help for points! please

Answers

Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

HELP ME PLEASE!
Find the value of the discriminant for the quadratic equation. Then, describe the number and type of roots for the equation.
25x^2 -20x + 4 = 0

Answers

Answer:

real and equal roots

Step-by-step explanation:

because at end of calculation,0=0

Can somebody please help me

Answers

Answer:

b is 62 a is 118 c is 59 I have to get 20 characters

2,38 x 5,6 + 9,52 hljkjkk

Answers

Answer:

22.848

Step-by-step explanation:

just type it into a calculator dawg

In the figure shown below find the value of a, round to the nearest tenth.

Answers

What Pic or Figure Lol

what is .072 divided by 345.00

Answers

Answer:

Step-by-step explanation: if its .072

or if it 0.72/345.00

0.00208695652

Use the function z=7c to find the value of z when c=8.

Answers

Answer:

z = 56

Step-by-step explanation:

z = 7(8)

To become a member of the book-of-the-month club there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation. ​

Answers

Answer:

y = 2x + 40

Step-by-step explanation:

slope-intercept formula: y = mx + b

x = number of months

y = total cost

slope is 2 and y-intercept is 40

Mrs phillubum has $200 in her bank account and is saving at a rate of $25 each week.

Answers

What is the question I can’t answer if there is no question?

An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet

Answers

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

Pls pls I just need the equation to this thank you so much!

Answers

Answer:

5.00+5.5+5.10+5.15+5.20+5.25= x

x is whatever the cost is.

if you want x, it is.... 31.2

or

y=5.00+5.5+5.10+5.15+5.20+5.25

If you want the equation in linear form (as in y= _x+b), then it is:

y=0.001x

sorry if im wrong! :D

Step-by-step explanation:

Just ask!

Hope this helps... :)

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