From a point 300 feet above ground in a firetower, a ranger spots two fires in the George Washington National forest. The angle of depression made by the line of sight from the ranger to the first fire is 3oand the angle of depression made by the line of sight from the ranger tothe second fire is 2o. The angle formed by the two lines of sight is 0117. Find the approximate distance between the two fires.

Answers

Answer 1

Answer:

The answer is "[tex]\bold{17456.6 \ ft}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\sin \theta = \frac{P}{h}\\\\\to BC =x\\\\\to BD =y\\\\[/tex]

The height of tower (AB) = 300 ft

Distance = CD

[tex]\Delta ABC \\\\\sin \theta = \frac{AB}{AC}\\\\\sin (2.5) = \frac{300}{AC}\\\\Ac= \frac{300}{\sin (2.5)}\\\\AC= 6877.68 \\\\\Delta ABD \\\\\sin \theta = \frac{AB}{AD}\\\\\sin (1.3) = \frac{300}{AD}\\\\AD= \frac{300}{\sin (1.3)}\\\\AC= 1322.33[/tex]

calculating CD :

[tex]CD^2 = AC^2 +AD^2 -2\cdot AC \cdot AD \cdot \cos(117^{\circ}) \\\\CD = \sqrt{(6877.68)^2 +(13223.23)^2 -2\cdot (6877.68) \cdot (13223.23) \cdot \cos(117^{\circ})}\\\\CD =\sqrt{47302482.1824 + 174853811.6329 - 82576463.207}\\\\CD= \sqrt{304732757.02}\\\\CD= 17456.6 \ ft[/tex]

From A Point 300 Feet Above Ground In A Firetower, A Ranger Spots Two Fires In The George Washington
From A Point 300 Feet Above Ground In A Firetower, A Ranger Spots Two Fires In The George Washington

Related Questions

please help with al parts! I will give brainliest to smartest answer!

Answers

Answer:

A: 428.75/ 24.5 = $17.50 per sq foot

B: 62.50*24.50 = $1,531.25

C: 428.75 + 1,531.25 + 137.50 = $2,097.50 for the total replacement

Step-by-step explanation:

Help pls o answers asap

Answers

Answer:

17 to 12

Step-by-step explanation:

it's monkeys to chimps

witch of the following best forms the figure shown. iready

Answers

I’m sorry but you didn’t show the answers possiblites so I can’t answer your question

What is the area???????

Answers

Answer: 56mm

Step-by-step explanation:

A=(a+b)/2 x h

A=(4+12)/2 x 7

A=16/2 x 7

A=8 x 7

A= 56mm

Please actually answer this, don't just type random stuff i swear. Okay, has this been happening to anyone else? What's happening is I can't get a tutor at all, I am doing Mathematics too like- can someone help me, please don't answer this just for points. ​

Answers

Answer:

Finding a tutor for mathematics? If that's the problem

Step-by-step explanation:

Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc

Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...

I have always had problems with math so I am sorry if it doesn't work out for you

There are a lot of programs that provide tutors for all subjects.

One way to get a tutor is to simply look up “Tutors near me” and there should be a good amount of people looking to help depending where you live.

Another way is to go through your school and ask if they could set you up with one. Whether it’s college, junior high, high school, they can set you up with a high level professor and / or high school student who’s qualified. This is how i got my tutor for mathematics in high school :)

One other way i know of is to go through a teacher, friend, or family member to see if there is anyone they know who’d be happy to help.

HELP:
A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

I need the answer quick, and thank you!!!

Answers

Answer:

First you can find the rate of change to be 4.25. Then you can subtract 4.25 repeatedly until you get to an output with an input of zero. The initial value is the output when the input is zero. The initial value after subtracting 4.25 three times is 29.50. Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25. Subtract 4.25 repeatedly 3 times to get to an output with an input of 0. Calculate 42.25 – (3 x 4.25).  The initial value is 29.50.

Hope this Helps!

Choose the correct answer

Answers

Answer: it should be d pretty sure

Step-by-step explanation:

A woman bought 210 oranges for GH¢65.00. she sold all of them at 3 for ¢20.00. how much profit did she make?

Answers

Answer:

She made a profit of 1,335 cedis

Step-by-step explanation:

Here, we want to calculate the profit made

Profit is selling price - cost price

Her cost price is 65 credits

For her selling price;

she sells 3 for 20 cedis

So the price she sold 210 will be;

(210 * 20)/3 = 1,400 cedis

So the profit made is;

1,400-65 = 1,335 cedis

find the two angles and show work!!!

Answers

Answer:

x=23.5

Step-by-step explanation:

90=25-x/2+18

combine like terms

90=43-x/2

subtract 43 from both sides

47= -×/2

47/2= 23.5

x=23.5

or

90-25= 65

65-18=47

47/2=23.5

Given angle FGH - angle LMN, which must be true?

Answers

A and I know this because I looked it up and that’s what it gave me

Answer:

A, B, C and E are true. Only D is false.

Step-by-step explanation:

ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0

Answers

Answer:

Step-by-step explanation:a or b ?

Simplify: 8p²q²r² - 7p²q²r² + q²r²

Answers

Answer:

8p²q²r² - 7p²q²r² + q²r²

Step-by-step explanation:

= p^2 q^2 r^2 + q^2 r^2 :)

Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots


Answers

Answer:

4x-27x-54-90=

Step-by-step explanation:

well first you have to subtract x which is -23x              

then u have to bring 90+54 on the other side

which then leaves you with

-23x=144

x=-6.260869565217391

can i also get brainliest please

I will mark BRAINLIEST IF CORRECT
ignore what i selected please help me

Answers

Answer:

- 5/4

Step-by-step explanation:

what is the equation for this situation

Answers

U didn’t give any context
We need a picture to help you /:

What is the slope of the line on the graph

Answers

Answer:

Step-by-step explanation:

-2/6=-1/3

-1/3 is the slope.

formula is rise/run

h(x) = -(x + 3)(x - 2)

Answers

Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s):  (−3,0),(2,0)

y-intercept(s): (0,6)

Which situation does NOT show causation?
A. When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.
B.When the student population at a school increases, the number of teachers at the school increases.
C.When there are more workers on a project, the project is completed in less time.
D.When there is more protein in an athlete’s diet, the athlete scores more points in a game.

I'LL GIVE YOU BRAINLIEST IF YOUR RIGHT

Answers

Answer is A
Hope this helps

Answer:A

Step-by-step explanation:

What is the cos x =1.7%2 and x is acute angle

Answers

Given :

cos x = 1.7/2 .

Also, x is an acute angle.

To Find :

The value of angle x.

Solution :

cos x = 1.7/2

Applying cos inverse both the sides, we get :

[tex]cos ^{-1} (cos\ x ) = cos^{-1} \dfrac{1.7}{2}\\\\x = cos^{-1} \dfrac{1.7}{2}[/tex]

Calculating the value of  [tex]cos ^{-1} \dfrac{1.7}{2}[/tex] from calculator, we get :

x = 31.79°

Therefore, the acute angle x is 31.79°.

25 points-

Please help me-

Answers

Answer:

alr i tried, i hope i got them right! <3 pls let me know if i got them wrong.

1. 108 | 6x12 = 72 9x12 = 108 |

2. 91 | 13x7 = 19

3. 19 | 108/6 90/6 = 19/15 |

4. 50. 400/8 = 50

5. 50. 300/6

hope this helped! <3

Step-by-step explanation:

helppp me plzzzzzz ahh

Answers

Corresponding angles

one factor of x^3-x^2-x+1 is x-1 the other factor is

Answers

Here you go!!! I hope this helps!!! Have a merry Christmas!!

Which represents the constant in the expression: 2x - 8

Answers

Answer:

-8

General Formulas and Concepts:

Algebra I

Constants have no variables

Step-by-step explanation:

Step 1: Define

2x - 8

Step 2: Identify

Term 2x

Constant -8

A taxi company charges an initial fee of $1.95, plus $1.60 per mile driven. Shelly has $22.00 to spend on a taxi ride. Which inequality represents the number of miles, m, that Shelly can ride in a taxi

Answers

Answer:

Equation

1.95+1.6m ≤ 22

If solved

m ≤ 12.53

Step-by-step explanation:

SO we know the initial fee is 1.95

and for every mile driven, its $1.6

And we know that Shelly can spend less then or exactly the price of 22.

We know that m is miles driven

So we can make an equation

1.95+1.6m ≤ 22

1.95 can’t change since initial fee

1.6*m becuase its 1.6 for every mile driven and since “m” miles were driven, we multiply that by 1.6

Now it can’t go over 22 but it could be less than 22.

So this equation makes sense

If we solve it, it would be about  m ≤ 12.53 miles

An online bookstore sells all paperback books for "x" dollars each. Aidan bought 7 paperback books and spent $3.95 on shipping. Nina bought 11 paperback books and spent $5.25 on shipping. What expression represents the total amount that Aidan and Nina spent?

Answers

Answer:

Aidan: 7x + 3.95 = y

Nina: 11x + 5.25 = y

A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below.

Answers

Answer:

(2, 0)

Step-by-step explanation:

First we need to get the equation of the line passing through the points (3, 1) and (–5, –7)

Equation of a line is y = mx+c

m is the slope

m = y2-y1/x2-x1

m = -7-1/-5-3

m = -8/-8

m = 1

Substitute m = 1 and the point (3, 1) into the equation y = mx+c and get c;

1 = 1(3) + c

1 = 3 + c

c = 1-3

c = -2

The required equation is y = x - 2

We are to look for the coordinate point (x,y) for which both lines intersects, then both equations will be equal as shown;

0.5x - 1 = x - 2

0.5x - x = -2+1

-0.5x = -1

x = -1/-0.5

x = 2

Substitute x = 2 into y = x - 2

y = 2-2

y = 0

Hence the the coordinate point is (2, 0)

Answer: (2,0)

Step-by-step explanation: Because I just took the Unit Test and got 100% on it.

find the length of a square whose diagonal is 15cm​

Answers

2a^2 = 225
So a^2 = 225/2

Maria has 12 pieces of candy. She ate 1 of the pieces.
How many pieces of candy does Maria have left?

Answers

Answer:

The answer is 6 because 12 divided by 2 is 6 and 6 plus 6 is 12

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

1/6 of 12=2 12-2=10 ez

Find the slope of the line.

A: 3/2
B: -2/3
C: 2/3
D: -3/2

Answers

Answer:

Slope= [tex]rise/run[/tex]

slope= - 1/5

Step-by-step explanation:

(3,2)  (-2,3)

formula = [tex]y2-y1/ x2- x1[/tex]

                  [tex]3-2 / -2 -3[/tex]

                        [tex]1/-5[/tex]

slope= - 1/5

Solve the problem

3 x 5/8

Answers

Answer:

1.87500

Step-by-step explanation:

1.87500 calculator was used
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