Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long.
If Roger is 4.5 feet tall, what is the height of the tree?
O A. 12 ft
OB. 16.5 ft
O C. 19.5 ft
OD. 27 ft​

Answers

Answer 1

Answer:

the answer should be 27 ft

sorry if I'm wrong

Answer 2

The height of the tree will be 27 ft. The correct option is D.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that Roger is standing next to a tree where his shadow is 3 feet long and the shadow of the tree is 18 feet long. If Roger is 4.5 feet tall.

The height of the tree will be calculated as,

Height = ( 18 x 4.5 ) / 3

Height = 6 x 4.5

Height = 27 ft

Hence, the height will be 27 ft.

To know more about trigonometry follow

https://brainly.com/question/28908520

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Related Questions

Students applying to law school must take the LSAT exam. Since competition for acceptance is stiff, many students take a course that is advertised to boost scores on the LSAT. The agency that teaches the course claims the course is an effective way to raise scores on the LSAT. To test this claim, a group of students are given the LSAT and their scores are recorded. They then attend the course for 5 wecks and retake the exam. Their scores are recorded again. The pre and post test scores are saved here (for Minitab 19) or here (for Minitab 18).
a. Are the samples independent or dependent? Explain.
b. What are the appropriate null and alternative hypotheses for testing the claim that the course is an effective way to raise scores on the LSAT?
c. What Minitab procedure are you going to use to test the hypotheses formulated above?
d. Create the probability plot necessary to validate the procedure chosen above. B C14 C15 non 100 m Ennish finited States)

Answers

Answer:

a) Dependent

b) H0: µd = 0

    Ha: µd > 0

c)  Stat  --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output

d) Not enough data

Step-by-step explanation:

Using values found in MINITAB 19

a) The samples are dependent and this is because the title of the test is the same ( i.e. A group of students given the LSAT )

b) Appropriate hypothesis

H0: µd = 0

Ha: µd > 0

c) The Minitab procedure to be used to test the hypothesis is

click on Stat  --> Basic Statistics ----> Paired t. then select samples 1 , 2 to get the required output

d) Not enough data to create a probability plot

What is the value of the expression
6t - 2
+4(t + 1) when t = 5?
4.

Answers

Answer:

(6 x 5) - 2 + 4(5 + 4)

30 - 2 +20 +16

A = 64

Step-by-step explanation:

Factorise the following completely: (4 marks)

a)a) 81

Answers

Answer:

Learn the factors of 92, and the factors of 93, and the factors of 94.All three of these numbers are composite numbers

Factors of 81: 1, 3, 9, 27, 81. Prime factorization: 81 = 3 x 3 x 3 x 3 which can also be written 3⁴.

please Help.
Ahmed And Ebrahim are recording how far a ball rolls down a ramp during each second. the table below shows the data the have collected.​

Answers

Answer:

Read below for the answer :)

Step-by-step explanation:

So, when you read it at first, it doesn't seem to match in any way. Well look at it from left to right. If you take notice of the bottom numbers, 1 to 9 is a difference of 8. And 2 to 13 = a difference of 11. 8-11 = a plus 3 system. Likewise, 3 to 17 = 14, or, 11 +3.

The answer is yes, and that is the reason above :)

Please help me on this for my quiz: Which equation represents an inverse variation with a constant of 56?
A: y/x=56
B: 7/y=8/x
C: 1/4y=14x
D:xy/2=28

Answers

Answer:

D) xy/2 = 28

Step-by-step explanation:

Inverse Variation:

y = k/x

Given:

k = 56

Work:

y = k/x

y = 56/x

xy = 56

xy/2 = 28

xy = 28 * 2

xy = 56

5. In order to figure out who will go first in a game, your friend asks you to
pick a number between 1 and 25.
a. What are the possible outcomes?
b. What are the favorable outcomes of choosing an even number?
c. What are the favorable outcomes of choosing a
number less than 20?

Answers

Answer:

a. - Any number 1-25

b. - 12/25

c. - 20/25

i need help with this pls

Answers

Answer:

Angles B & C both = 157 degrees .

Step-by-step explanation:

Angle A is adjacent to Angle B, which means they are the same size. 23 degrees for A & B.

23+23 = 46.

We have two straight lines, one line = 180. 180*2 = 360.

Take 46 from 360 because we already figured out two angles.

360 - 46 = 314

Divide 314 by 2 because we have two unknown angles...

314 / 2 = 157 .

Angle B & C = 157.

A pet store has
10 hamsters for every 8 cats.

What is the ratio of hamsters to cats?
8:18
8:10
10:8

Answers

Answer: 10:8

Step-by-step explanation:

There are 10 hamsters and 8 cats

Since hamsters is first in the ratio, you put the 10 and then the 8

10:8

Hope this helps!

Answer:

the last option 10:8....

Jaysen flips a coin and selects a letter tile at random from those shown.

What is the probability of flipping heads and selecting a vowel? Express your answer as a fraction in simplest form.

Answers

Answer:

The probability of flipping heads is 1/2 and the probability of picking a vowel is 4/10 or 2/5

Find the area of this parallelogram. Be sure to include the correct unit in the answer! (cm) , (cm2) , (cm3)

HELP PLEASE ! asap. i have a 30% in geometry & really tryna pass before summer .

Answers

Answer:

100cm^2 is what it means

Answer:

156 cm²

Step-by-step explanation:

The area of a parallelogram is found by finding the product of its base and perpendicular height. Here, the base is 12cm and the perpendicular height is 13cm.

12cm x 13cm = 156 cm²

1. Find the Surface Area of the Rectangular
Prism.
5 ft
4 Ft
3 ft

Answers

Answer:

The total surface area is 94ftsq

lateral surface area is 70ftsq

top surface area is 12ftsq

bottom surface area is 12 ft sq


I need help please !!!!!!!!

Answers

I don’t understand what this question is asking

Answer:

line and point

hope it's correct..

HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT

Answers

Answer:

10π (after use calculator)

Step-by-step explanation:

A = 2πr

so,

A = 2(π)(5)

A = 10π

then use your calculator

and u will get the answer

I think the answer is 78.5

Area of a circle formula is : A=πr2

Why might it be useful to covert radians to degrees?

Answers

Answer:

Protractor measures degrees

Step-by-step explanation:

how to deal with never being loved after your bf told u he never actually loved you

Answers

Answer:

don't lose your hope

think positive

You find self love. Focus on yourself he ain’t deserve you queen!

What type of units are used to describe volume?

Answers

units used to describe volume are cubic

Answer:

The most basic common unit is Liters (L), but people also commonly use milliliters (mL) and cubic centimeter (cm^3).

Given that
5x : 8 = 7:2
Calculate the value of x
Give your answer in its simplest form.

Answers

Answer:

Step-by-step explanation:

Given

5x : 8 = 7 : 2

[tex]\frac{5x}{8} =\frac{7}{2}\\cross , multiply\\\\10x = 56\\x = \frac{56}{10}\\x =\frac{28}{5}[/tex]

hope it helps :)

Troy and Ronnie wrote down how much time they spent at play rehearsal each week for 6
weeks.
Troy spent 6, 4, 8, 5, 10, and 9 hours at play rehearsal.
Ronnie spent 4, 6,3,7,7, and 3 hours at play rehearsal.
How does the range of hours Troy spent compare with the range of hours Ronnie spent at play
rehearsal? Answer the questions to find out.
1. What is the range of hours Troy spent at play rehearsal? Explain how to find the range of a
data set.
Write your answer in the space below.
2. What is the range of hours Ronnie spent at play rehearsal?
Write your answer in the space below.
B. Who had a greater range of hours spent at rehearsal?
Write your answer in the space below.

Answers

Answer:

6 hours. To find the range you arrange the numbers in order from least to greatest, then subtract the largest number in the data set from the smallest.4 hours.

     b. Troy had the greater range because 6 hours is longer than 4 hours.

Step-by-step explanation: To find the range you arrange the numbers in order from least to greatest, then subtract the largest number in the data set from the smallest.

The dimensions of a patio are shown above what is the area in square feet of the patio?​

Answers

Answer:

uhh the picture is sideways .

Answer:

it is 10x + 2

Step-by-step explanation:

what are the lengths of side a and b?​

Answers

Answer:

[tex]a =\frac{\sqrt 2}{2}[/tex] m

[tex]b=\frac{\sqrt 2}{2}[/tex] m

Step-by-step explanation:

Given

The attached triangle

Required

Find a and b

To do this, we make use of the following trigonometry ratio

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(45) = \frac{a}{c}[/tex]

[tex]\sin(45) = \frac{b}{c}[/tex]

Where

[tex]c = 1[/tex]

So, we have:

[tex]\sin(45) = \frac{a}{1}[/tex]

[tex]\sin(45) = a[/tex]

Rewrite as:

[tex]a =\sin(45)[/tex]

In radical form:

[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]

So:

[tex]a =\frac{\sqrt 2}{2}[/tex]

Similarly:

[tex]\sin(45) = \frac{b}{c}[/tex]

[tex]\sin(45) = \frac{b}{1}[/tex]

[tex]\sin(45) = b[/tex]

Rewrite as:

[tex]b = \sin(45)[/tex]

In radical form:

[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]

So:

[tex]b=\frac{\sqrt 2}{2}[/tex]

In the figure below, find the mZ6, in degrees, if m2 = 75°?
87
413
50° 2
1
56
PLEASE HELPP

Answers

Answer:

75 degrees

Step-by-step explanation:

2 and 4 are vertical angles so 4 is 75.

4 and 6 are alternate exterior angles so have same value.

6 is 75 degrees.

Practice
In the figure, a || 6. What is the value of x?

Answers

Answer:

x = 40

Step-by-step explanation:

3x + 9 = 129 Alternate Exterior Angles Theorem

-9 -9

3x = 120 divide by 3

x = 40

Explain the difference between parallel and perpendicular slope in fewer than twenty words.

Answers

Answer:

parallel refers to two equidistant lines, Because the lines are equally distant, they have the same slope and the angle between them is zero. On the other hand, when two lines intersect at a right angle, they are called perpendicular.

Step-by-step explanation:

identify an equation in point slope form for the line perpendicular to y=-2x+8 that passes through (-3,9)

Answers

Answer:

y - 9 = 1/2(x + 3)

Step-by-step explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form:

Employees at a company are given £1,200 to spend on items for the office.
They decide to buy a coffee machine and as many bean bags as possible.
Bean bags cost £40 with an offer of "Buy at least 15 get 10% off the price."
The coffee machine costs £280.
How much will they have left over from the £1,200?

Answers

Answer:

100 $

Step-by-step explanation:

help me i really need the help

Answers

Answer:

G: 1 3/4

Step-by-step explanation:

you have to divide, 8 3/4 cups by 5 and you get 1 3/4!

Answer:

G. 1 3/4

Step-by-step explanation:

There are multiple ways you can do this, but there's one easy way.

You can convert 8 3/4 to a decimal, which is 8.75.

From there, divide 8.75 by 5 and you get 1.75, which is 1 3/4/

A. 93
B. 57
C. 132
D. 123

Answers

Answer:

B

Step-by-step explanation:

The interior angles of a triangle always add up to 180 degrees.

We have two angles already and they add up to 60+63=123 degrees

180-123=57

so the remaining angle is 57 degrees

9514 1404 393

Answer:

  D.  123°

Step-by-step explanation:

The external angle is equal to the sum of the remote internal angles.

  m∠1 = 60° +63°

  m∠1 = 123°

Need some help on this question??

Answers

Step-by-step explanation:

I am sorry I didn't know the answer

Answer:

2nd option

Step-by-step explanation:

The secant- secant angle CAD is half the difference of the intercepted arcs, that is

∠ CAD = [tex]\frac{CD-GE}{2}[/tex]

Evaluate the following equation for the given x value. Round your answer to
the nearest hundredth. *
у
600(0.732)"; x = 3

Answers

Answer:

585856859686

Step-by-step explanation:

546786676

Which is the volume of the Sphere with a diameter of 6 inches?
Volume
Sphere
=
A
288 Tt in
B
48 Tt in
C 36 Tt in
D 108 Tt in

Answers

Answer:

C

Step-by-step explanation:

because 6×6 is 36 so yeahh

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