A forest ranger spots a fire from a 21-foot tower. The angle of depression from the tower to the fire is 12 degrees . To the nearest foot, how far is the fire from the base of the tower?

Answers

Answer 1

Answer:

Step-by-step explanation:

98.8

Answer 2

Answer:

99

Step-by-step explanation:

The angle of depression looking from the tower is the same as the angle of elevation looking at the top of the tower from the spot of the fire.  So, tan (12 degrees) = 21 / distance between the tower and fire.  Thus, the distance = 21 / tan(12).  

tan (12) = 0.2126

Distance = 21 / 0.2126 = 98.78

The question asks about the distance from the base to the fire (to the nearest foot.)  Thus, it is 99 feet.  


Related Questions

Which equation demonstrates the distributive property?

A) 7(1 + 6) =7(6 + 1)
B) (7 x 1) x 6 = 7 x (1 x 6)
C) (7 x 1) x 6 =7 x (6 x 1)
D) 7(1 + 6) = (7 x 1) + (7 x 6)

Answers

Answer:

D

Step-by-step explanation:

The distributive property takes place when you distribute what is outside of the parentheses into the parentheses, separating out the equation into easier to develop parts. D does this exactly.

Answer is A I hope this help you

what is the answer for this one 4x + 16 = ?

Answers

Answer:

20x

Step-by-step explanation:

An astronomer knows that a satellite orbits the Earth in a period that is an exact multiple of 1 hour that is less than 1 day. If the astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours, how long is the orbital period of the satellite?

Answers

Answer: The Satellites Orbits the Earth every 19 hours!

Step-by-step explanation:

Okay, I went to go re-searching for this question hopefully this helps love, from below! You should write this down, so it's easier for you to remember.

The total orbital period of the satellite is 1.54 hours and this can be determined by using the given data.

Given :

An astronomer knows that a satellite orbits the Earth in a period that is an exact multiple of 1 hour that is less than 1 day.The astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours.

The following steps can be used in order to determine the total orbital period of the satellite:

Step 1 - Let the number of hours to complete one orbit be 'x'.

Step 2 - According to the given data, the astronomer notes that the satellite completes 11 orbits in an interval that starts when a 24-hour clock reads 0 hours and ends the clock reads 17 hours.

Step 3 - So, the linear equation that represents the given situation is:

11x = 17

x = 17/11

x = 1.54 hours

For more information, refer to the link given below:

https://brainly.com/question/7359669

What's the slope? Help plssss

Answers

Answer:

-[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Slope is [tex]\frac{y2-y1}{x2-x1}[/tex] so insert 2 points there and you get -4/3

Please give brainliest.

Answer:

m = [tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

The slope is [tex]-\frac{4}{3}[/tex] because the line goes down from left to right and it goes down 4 units and right 3 units.

Write an integer for situation
5 degrees below 0

Answers

Answer:

-5 degrees

hope this helps

Answer:

-5

Step-by-step explanation:

An integer is a positive or negative number that has no fractions or decimals.

5 degrees above zero is 5 degrees because 0 + 5 = 5

5 degrees below zero is -5 degrees because 0 - 5 = -5

If 4(r+2)-13=11, what is the value of r ?

Answers

Answer:

r=4

Step-by-step explanation:

First you multiply 4 by r which gives you 4r. Then you multiply 4 by 2 to give you 8.So it looks like this now

4r+8-13=11

Now you add thirteen to both sides and get

4r+8= 24

Then you subtract both sides by 8 to get 16

4r=16

Then you divide both sides by 4 to get 4

r=4

The value of r for equation 4(r+2)-13=11 is 4.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

4(r+2)-13=11,

Add 13 in both the sides,

4(r+2)-13+13=11+13,

4(r+2) + 0 = 24

4(r+2) = 24

Divide by 4 both sides,

r+2 = 6

r= 4


The value of r is 4.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2

What is the unit price for 5.22 for 6

Answers

Answer:

Step-by-step explanation:

5.22/6= 0.87 a piece

Which number value would complete the table below?
10 points
A)$4
B)$4.25
C)$4.50
D)$5.50

Answers

Answer:

Your answer should be C or D.

Because it looks like it goes up 1.50 each time

Step-by-step explanation:

Answer:

C. $4.50

Step-by-step explanation:

The y section goes up by $1.50

First to answer gets brainliest (Has to be correct answer)

Answers

If you go to a reliable sores that would be hard to understand but there is google that ca help you with what you need

What is the slope of the line that passes through the points (13, −8) and (−11, 4)?

Answers

i believe it is 11/2

slope is the rise over the run so you plot the points on a graph and count the spaces between the two going up and then over to the side

going up you’d get 11
going to the right you’d get 2

Cost of an oil change: $19.95

Discount: 33%

What is the new cost?

Answers

Answer:

$13.95

Step-by-step explanation:

Answer:

The new cost is 13.37

Step-by-step explanation:

Tony and Caroline are trying to solve the following system. Tony says to multiply the first equation by 4. Caroline says to multiply the first equation by 2. Which student's first step will work toward eliminating a variable?

A:Only Tony's idea will work toward eliminating a variable.
B:Only Caroline's idea will work toward eliminating a variable.
C:Neither of these will work.
D:BOTH ideas will work toward eliminating a variable.

Answers

Answer:

i believe its b?

Step-by-step explanation:

am still doing the test

What is the domain of the graph?
a. (-2,-1,0,1,3}
b. -2 C.-3 d. (-3,-2, -1, 1, 3, 5)

Answers

Answer:

d is correct

Step-by-step explanation:

Why did Keynes think deficit spending was necessary during periods of recession (such as the Great Depression)?

Answers

Answer:

Keynes argued that inadequate overall demand could lead to prolonged periods of high unemployment. But during a recession, strong forces often dampen demand as spending goes down

Step-by-step explanation:

The ESRB rating system is a world wide rating system that all countries in the world follow.
Question 5 options:
True
False

Answers

Answer:

False

Step-by-step explanation:

This is because in some countries games aren't even allowed. It's sad. Some don't even allow electronics in the first place.

Have an amazing day, mate!

Answer:

False

Step-by-step explanation:

Some areas of the world ban or cant play video games

P(B) = 2/3
PIAN B) = 1/6
What will P(A) have to be for A and B to be independent?

Answers

I don’t know exactly but thx for these points I need them8338

Find the area of the shape shown below.

Answers

Answer:

32 units²

Step-by-step explanation:

Area of trapezoid = [tex]\frac{b_{1} +b_{2} }{2} h[/tex]

A = [tex]\frac{4+12}{2} 4[/tex] = 32 units²

Answer:

The area of the trapezoid is 32 units squared

Step-by-step explanation:

You can use the formula A = [tex]\frac{a + B}{2} *h[/tex] to find the area of a trapezoid.

In this case a = 4, B = 12, and h = 4.  Plug the numbers into the formula and you will get 32.

7(x-2)-2(x-3)
Expand and Simplify

Answers

5x-8 is the the answer simplified

Answer:

5x - 8

Step-by-step explanation:

7 (x - 2) - 2 ( x - 3)

7x - 14 - 2 (x - 3)

7x - 14 - 2(x - 3)

7x - 14  - 2x + 6

7x - 14  - 2x + 6

7x - 8  - 2x

7x - 8  - 2x

5x - 8

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of the songs that the drummer wrote. They wrote a total of 46 songs. Which system of equation model this situation if the drummer wrote d songs and the guitarist wrote g songs?​

Answers

y = 2x - 8
x + y = 46

marking brainliest if ur correct

Solve the proportion.
3/5k = 7/3
k=

Answers

K= 35/9
Multiply5/3 on both sides

Answer:

I think you mean 35/k=7/3

Step-by-step explanation:

I need help!! I have a bunch of other math questions too-

Answers

Answer:

56

Step-by-step explanation:

2x2x2=8 so 7x8=56

How many solutions does 5 - 2x= 3 + x-4- 3x have?
O A. One solution
O B. Infinitely many solutions
O C. No solutions
O D. Two solutions

Answers

Answer:

There are C, no solutions.

Allison earns $8.50 an hour at her job serving at iHop, and also earns $9 each hour she tutors her little brother in math. She graphs the amount of hours
she works at her iHop job (x) and the number of hours she tutors (y) to determine how to eam at least $870. Which type of boundary line should she use in
her graph?

Answers

Answer:

i

Step-by-step explanation:

A cylinder has a height of 13 meters. It's volume is 4,082 cubic meters. What is radius of the cylinder?

Answers

Answer: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. ... Let the depth of the tank be h metres.

Step-by-step explanation:

Answer:

the radius is 10 m apprx

Step-by-step explanation:

height of the cylinder = [tex]\pi r^{2} h[/tex] = 4082 [tex]m^3[/tex]

then [tex]r^{2}= \frac{4082}{13\pi } = 99.9493[/tex]

r= [tex]\sqrt{99.9493}[/tex] =10.0 m

write the equation of the line with slope =7 and y- intercept= -1​

Answers

Answer:

y = 7x - 1 is the answer to the question

Help I am confused in this help

Answers

Answer would be 4 meters sorry if I’m wrong

Answer:

I helped you with a previous question. So I got your pass.

Step-by-step explanation:

bla bla bla bla

have a great day!

The first number is 7 greater than a second number. Twice the first number is 4 more than three times the second. Find the two numbers.

Answers

Step-by-step explanation and answer:

Setting up a system of equations would be the easiest method for this question. The first number will be x. The second number will be y. According to the question:

x+1=y

2x-4=5y

Since the first equation is already solved for y, you can plug the whole first equation in for y in the second equation, then solve for x.

2x-4=5(x+1) Distribute the 5

2x-4=5x+5 Subtract 5x from 2x

-3x-4=5 Subtract -4 from 5 (add 4 to 5)

-3x=9 Divide to get the x by itself

-3=x

Now that you have x solved for, you can plug it into the first equation (or second, if you prefer) to solve for y.

x+1=y

-3+1=y

-2=y

In the diagram triangle XYZ is congruent or equal to triangle MNL. Copy and complete the statement.

Answers

Answer:

5. 124 degrees

6. 23

7. 8

8. LN with a line over the top

9. Triangle symbol ZYX

10.Triangle symbol NML

Step-by-step explanation:

5. You are working with congruences.  Therefore, for #5 it is asking about the angle Y.  Look at the diagrams.  Angle Y is congruent with angle N therefore your answer is 124 degrees.

6. In 6 they want to know what angle M is.  Well, you already know that the interior of a triangle is 180 therefore, you would subtract 180-124=56. You then subtract angle L which is the same as angle X and therefore is 33. 56-33=23. So angle M is 23.

7. For 7 they want to know what the line YX is.  Again, we are working with congruences and therefore line YX is the same as line NM so the answer is

8. In 8, the want to know what the line YZ is equal to.  Working with congruences, you know that line YZ=LN. Make sure you put the line over LN as they did with YZ.

9.Working with congruencies, they want to know what triangle LNM is equal to.  Looking at the diagram, you know that since they are congruent, triangle LNM is equal to triangle ZYX. Make sure you use the triangle symbol.

10. Again, they what to know what the triangle is equal to.  Look at your diagram.  Line YX is equal to line NM.  Line XZ is equal to line ML. Line ZY is equal to line LN.  to triangle YXZ is equal to triangle NML.  I think they just want you to put the letters in the corresponding order.

I hope these are correct and that this helps you.

Plzzzz help ASAP. What is an equation of the line that passes through the point (1,6) and is perpendicular to the line x+3y=27

Answers

Answer:

   y = 3x + 3

Step-by-step explanation:

x + 3y = 27

     3y = -x + 27

      y = [tex]\frac{-1}{3}x +\frac{27}{3}[/tex]

      y = [tex]\frac{-1}{3}x + 9[/tex]

m₁ = -1/3

the slope of the line perpendicular to x + 3y = 27 is m₂ = -1/m₁

    m₂ = [tex]-1 * \frac{-3}{1}[/tex] = 3 ,  Point (1 , 6)

y - y1 = m (x -x1)

y -6 = 3(x - 1)

y - 6= 3x - 3

    y = 3x - 3 +6

   y = 3x + 3

Answer:

3x-y=27

Step-by-step explanation:

perpendicular is making a 90 degree angle, so it would need to be a slope of 3 if the other is -1/3.

y=9, x=27

3x-y=27 is the polar opposite, and should work, sorry if wrong. hard to do in my head without a graph to help.

You are saving for a new computer monitor. You already have $75. The monitor costs a total of $400. You save $25 each week.
Write an equation using w, to represent the number of weeks that you will have to save in order to purchase the monitor. Use your equation and solve algebraically. Explain your solution. i dont understand pls help

Answers

Answer:

13 weeks

Step-by-step explanation:

1. $400-$75= 325

2. 25w=325 (because you save $25 a week)

3. w=325/25

4. w= 13 (325 divided by 25 is 13)

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