An observer standing on the southern bank of a river sees a tree that is much more than 100 feet downstream on the northern bank of the river. The angle formed by the southern bank and the line from the observer to the tree is 15 ∘. After walking 100 feet downstream, the observer measures the angle formed by the southern bank and the line to the same tree to be 25 ∘. Find the width of the river. (can you show the work please)(also the drawing please)

Answers

Answer 1

Answer:

[tex]63\ \text{ft}[/tex]

Step-by-step explanation:

The distances are shown in the figure

[tex]\tan25^{\circ}=\dfrac{p}{b}\\\Rightarrow p=b\tan25^{\circ}[/tex]

[tex]\tan15^{\circ}=\dfrac{p}{b+100}\\\Rightarrow p=b\tan15^{\circ}+100\tan15^{\circ}\\\Rightarrow b\tan25^{\circ}=b\tan15^{\circ}+100\tan15^{\circ}\\\Rightarrow b=\dfrac{100\tan15^{\circ}}{\tan25^{\circ}-\tan15^{\circ}}\\\Rightarrow b=135.08\ \text{ft}[/tex]

[tex]p=b\tan25^{\circ}=135.08\times\tan25^{\circ}\\\Rightarrow p=62.99\approx 63\ \text{ft}[/tex]

The width of the river is [tex]63\ \text{ft}[/tex].

An Observer Standing On The Southern Bank Of A River Sees A Tree That Is Much More Than 100 Feet Downstream

Related Questions

Help help help help please!!!!

Answers

Answer:

74 feet

Step-by-step explanation:

24^2 + 70^2 = 74^2

Pythagorean Theorem

Select the number that is a solution to the inequality t > 6.
A 2
B 6
C 5.2
D 6.01
E 0.6

Answers

Answer:

D. 6.01

Step-by-step explanation:

6.01 is greater than six.

Answer: D

Step-by-step explanation:

“>” means greater than. So, T has to be bigger than 6. 6.01 is bigger.

A school group is raising money for a trip. The group needs $450 for travel and $325 for food. They have 6 weeks to raise money selling $1 candy bars.
What is the least number of candy bars the group needs to sell each week to afford the trip?

Answers

Answer:

Step-In total, the amount of money they will need to raise is:

= 450 + 325

= $775

by-step explanation:

They have 6 weeks to raise this money so the amount they have to raise per week is at least:

= 775/6

= $130

The candy bars cost $1 each. They will therefore have to sell a minimum of 130 candy bars each week to afford the trip.

What is m∠N?
A. 19°
B. 68°
C. 95°
D. 112°

Answers

It would be B. 68

I hope this help!

Which could a dilation result in? Select all that apply.
a figure getting smaller
a figure moving to the left
a figure flipping upside down
a figure getting larger
a figure turning about a point

Answers

Answer: a figure getting smaller, and a figure getting larger because its changing its size of the shape.

Hope it helps :)

Answer:

first and second to last one on 2021 edge :)

Step-by-step explanation:

What is the volume of this rectangular prism? 5/3cm 3/2cm 4/5cm​

Answers

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

length[l]=[tex] \frac{5}{3} cm[/tex]

breadth [b]=[tex] \frac{3}{2} cm[/tex]

height[h]=[tex] \frac{4}{5} cm[/tex]

now

volume of cuboid=l×b×h=[tex] \frac{5}{3} \times \frac{3}{2} \times \frac{4}{5} [/tex]

=2cm³is your answer.

Step-by-step explanation:

hope it is helpful to you

Please help!!
I’m so confused
And please don’t use the link joke

Answers

Answer:

15u + 141 = 420

Step-by-step explanation:

So basically we are modelling how much the coach is spending. Each player is given a uniform and a basketball

We can use 'u' as the cost of a single uniform

We can use 'b' as the cost of a single basketball

Since there is 15 players we must give a ball and uniform to each so

15u + 15b = 420

The problem gives us the cost of each basketball: 9.40

so now 15u + 15(9.4) = 420

15u + 141 = 420

Find mean of the following data.
X 5 10 15 20
F 3 6 3 4
25
4​

Answers

Answer:

14.1

Step-by-step explanation:

Mean = sum of the items/ no. of items = ∑fx÷∑f  = 705÷ 50 = 14.1

Brainliest goes to whoever answers/explains this correctly

Answers

Answer: (-5,0)  will be your answer hope this helps

Step-by-step explanation:

The distance from Kim's house to NYC is 100 miles more than the distance from her house to LA. If the sum of the distances is 3,000 miles, how far is it from Kim's house to New York City?

Please help and show how you solved it!!

Answers

Answer:

1550miles

Step-by-step explanation:

assume her house to LA has x miles, therefore her house to NYC is x+100miles

x+x+100=3000

2x=2900

x=1450

x+100=1550miles

A box contains 6 black socks and 4 red socks. What is the probability of picking two black socks from the bag without replacement? What is the answer in simplest form?

Answers

Answer:

9/25

Step-by-step explanation:

Our box contains 10 socks. (6, which are black and 4 which are red)

Probability of picking 1 black sock will be 6/10

Number of ways it can occur / Total number of outcomes.

In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection

P (B₁ ∩ B₂) = 6/10 . 6/10

When the events are independent, the probability of the intersection will be the product of the probabilities,

P (B₁ ∩ B₂) = 36/100 = 9/25

Beyunka has six baseballs that she keeps at her grandparents’ house. That number represents 20% of the baseballs that come in a case. The relationship is shown in the tape diagram below. What is the total number of baseballs that come in a case?

Help

Answers

Answer:

30 is the total number of baseballs that come in a case

x+2y=8
-x+3y=17

método de reducción ¿alguien la sabe?​

Answers

Answer:

x=-2

y=5

Step-by-step explanation:

x+2y=8   equation-1  

-x+3y=17 equation-2

5y=25

Both side divided 5,

y=5

Equation-1, y=5

x+2(5)=8

x+10=8

Both side -10

x+10-10=8-10

x=-2

Equation-2, y=5

-x+3(5)=17

-x+15=17

Both side -15

-x+15-15=17-15

-x=2

x=-2

Question 2 of 10
What is the area of the triangle below?
No links please

Answers

Answer
60
Explanation
Height x length then divide by 2


2
1
​plz, help!!!!!!!!!!!!!!!

Answers

Answer:

5÷ 21 = 0.23809523809

(Will Give Brainliest) What is the slope of the line? −4x + 7 = 2y − 3

Answers

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-4x + 7 = 2y - 3

7 = 2y - 3 + 4x

0 = 2y - 3 + 4x - 7

-2y = -3 + 4x - 7

-2y = 4x - 10

y = -2x + 5

As the slope of the line is equal to the value of x, the slope of this line is -2

In 1978, the amount of earnings required to earn one Social Security credit was $250. Thirty-eight years later, in 2016, the amount was $1260. What was the percent increase in the amount required to earn a credit over this 38-year span?

Answers

Answer:

404%

Step-by-step explanation:

To find the percentage difference do the following: (FV - SV)/|SV| * 100

(1260 - 250)/|250| * 100 {Subtract 250 from 1260 to get 1010. The absolute value of 250 is 250.}

1010/250 * 100 {Divide 1010 by 250 to get 4.04, or 101/25.}

101/25 * 100/1 {CROSS CANCELLATION}

101 * 4 {Multiply 4 by 101 to get 404.}

404%

The percent increase in the amount required to earn a credit over 38 years is 404%.

Find the term indicated in the expansion.
(x + 2y)*; fourth term


Helppppppp

Answers

Answer:

wish that will help u

Calcular la velocidad de propagación de una onda que tiene una frecuencia de 60Hz y una longitud de onda de 0.2 m

Answers

Respuesta:

12 m / s

Explicación paso a paso:

Dado :

Frecuencia de onda = 60 Hz

Longitud de onda = 0,2 m

La velocidad de propagación de la onda viene dada por:

Velocidad = frecuencia * longitud de onda

Velocidad de propagación de la onda = 60 * 0,2

Velocidad de propagación de la onda = 12 m / s

60 cars to 24 cars what is the decrease percentage​

Answers

Answer:

It decreased 60%

Step-by-step explanation:

TO figure this out we must first find 1% of 60

60/100 = .6

Now we find the difference between 60 and 24

60 - 24 = 36

Now that we know how much it decreased we must now find out what percent 36 is of 60.

.6 x 60 = 36

So 36 out of 60 is 60%

So it decreased 60%

(っ◔◡◔)っ ♥ Hope It Helps ♥

Please Consider giving Brainliest

What is the square root of -1?

Answers

Answer:

Step-by-step explanation:

B, i

The answer would be -1

How to solve: 1/3 x 23,26 x 7

Answers

Answer:

54.27333333

Step-by-step explanation:

just put them all into a calculator and multiply them

1/3*23.26*7=54.27333333

Answer:

around 54.27

Step-by-step explanation:

Just multiply the numbers or change them to decimals (1/3 = 0.333 , 23.26, and 7 = 7.0)

1/3 * 23.26 * 7 = 54.273 (repeating)

A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet.Find the volume of the suitcase.

Answers

Answer:

The answer is "[tex]\bold{\frac{135}{32}}[/tex]".

Step-by-step explanation:

[tex]Volume= length \times width \times height\\\\\to 1\frac{1}{4}= \frac{5}{4}\\\\\to 1\frac{1}{2}=\frac{3}{2}\\\\\to 2\frac{1}{4}=\frac{9}{4}\\\\\to Volume= \frac{5}{4} \times \frac{3}{2}\times \frac{9}{4} = \frac{135}{32}[/tex]

ok here yall go and thanks for the help

Answers

Answer:

length:5

width:2

Hight:2

value:20

Step-by-step explanation:

The volume is 29 because length×width×hight=value so 5×2×2=20


Ruby is building a pentagon-shaped garden and a hexagon-shaped garden.

.the perimeter of the pentagonal garden is 47 1/2ft

.The perimeter of the hexagonal garden is 61 1/2ft

Witch statement is false about this scenario?

A) the equation to find the length of each side of the pentagonal garden is 6x=47 1/2

B) The length of each side of the pentagonal garden 9 1/2 ft


C) The equation to find the length of each side of the hexagonal garden is 6x=61 1/2


Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

If x is the side length of the regular pentagon, the perimeter is the sum of its 5 side lengths: 5x. To find the side length, we can use the formula that sets this equal to the known perimeter:

  5x = 47 1/2 . . . . . . mismatch with statement A

Statement A is false.

Can someone help me with this question please

Answers

Answer:

the answer for both of them is x=4/5y-4

Step-by-step explanation:

Step 1: Add 8y to both sides.

10x−8y+8y=−40+8y

10x=8y−40

Step 2: Divide both sides by 10.

10x/10=8y−40/10

x=4/5y−4

Answer:

x=4/5y−4

hope this helped :)

Plz Help Me
Students were surveyed about their favorite food. Here are the results:

34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?

Answers

Answer:

0%

Step-by-step explanation:

They all liked one type of food.

The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.

What is percentage of a number?

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Students were surveyed about their favorite food. Here are the results:

34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgers

The vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.

14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,

[tex]100-(32+14+8+4+4+8+8)=22\%[/tex]

Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.

Learn more about the percentage here;

https://brainly.com/question/2085058

#SPJ2

A aystem of equations is shown. 4x+2y=10 2x-2y=8 what is the value of x in the solution to the system ?

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

please mark this answer as brainlest

How to find 7/10 distance of something

Answers

Answer:

multiply the distance by 0.7

Answer:

Divide it by 10, multiply it by 7

Example:

Find 7/10ths of 20

20/10 = 2

2x7=14

Jada’s lawn mowing service charges $28 an hour plus a $20 fee to cover gas for the mower. Mai’slawn service charges $16 an hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?

I need the answer pretty quick plsss

Answers

Answer:

Jadas for 4 hours

Step-by-step explanation:

28+20=48

16+44=60

60 x 4 = ?

48 x 4 = ?

Overall Jada's plan is cheaper!!!!!1

Have a great day! Hope this helps!!!!!!!!!!

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