Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings
Answers
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
Related Questions
A line passes through the points (-1, 4)
and (2,-2). What is the equation of this
line?
Answers
Answer:
Concept: Equation of Linear Systems
We will start by finding the slope with the equation y2-y1/x2-x1Hence: -2-4/2-(-1)= -2So we determined the slope to be -2 Now we need to find the y-intercept.Our standard equation is y=mx+b So -2=-2(2)+b b=2So our equation is y= -2x+2Give brainlistAnswer:
Slope =-3
Equation of a line
y-y1=m(x-x1))
y-4=-3(x+1)
y-4=-3x-6
y=-3x-6+4
y=-3x-2
Step-by-step explanation:
Which equation matches the graph ?
Please help!
Answers
Answer:
[tex]B. \: \: y = 3x - 2[/tex]
Step-by-step explanation:
I how this HELPS you!
Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?
Answers
Hello!
[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.
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Equation have Infinitely many Solutions⠀⠀⠀⠀
______________________
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➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
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When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
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SolutiOn :➠ - 3 ( x - 14 ) + 9x = 6x + 42
➠ -3x + 42 + 9x = 6x + 42
Now, we will bring the variable on left hand side and constants on right hand side
➠ -3x + 9x - 6x = 42 - 42
➠ -9x + 9x = 42 - 42
➠ 0 = 42 - 42
➠ 0 = 0
As we can see the equation have end with a zero the equation have indefinitely many solutions
➠ Indefinity many solutions
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Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?
Answers
Answer:
$0.32, so a quarter a nickel and 2 pennies
Step-by-step explanation:
Answer:
$0.32
Step-by-step explanation:
First, add $1.29+$0.39 to get the total amount of the transaction.
$1.29+$0.39 = 1.68
Then, subtract that from the amount paid.
$2.00-$1.68
= $0.32
Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.
Answers
Answer:
C) The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Step-by-step explanation:
Answer:
c on edge
Step-by-step explanation:
Consider the system of equations.
y = –2x + 4,
3y + x = –3
Which statement is true of this system of equations?
Both equations are in slope-intercept form.
The first equation converted to slope-intercept form is y + 2x = 4.
The second equation converted to slope-intercept form is .y = negative one-third x minus 1
Neither equation is in slope-intercept form.
is the discriminant of g positive, zero, or negative
Answers
Answer: negative
Step-by-step explanation:
the x values are negative
Answer:
negative
Step-by-step explanation:
help me plssssssssssssss
Answers
Answer:
D
Step-by-step explanation:
3/4 × 2/6 = 1/4
3/4÷6/2=1/4
explanation:
Complete the statement
Isosceles triangle A ABC has congruent angles at B and C. If BC is bisected at D and AD is drawn, by the side, side, side triangle congruence postulate,
(1 point)
O AADB AADC
O AADBA AABC
Ο ΔΑΒCA ΔΑDC
O AADB ADCA
Answers
Answer:
∆ ADB = ∆ ADC
6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz
Answers
Answer:
a) What is d?
b) 52fl.oz
The number of students increased by 25% between last year and this year. Last year there were 280 students.
Answers
Answer:
11.2
Step-by-step explanation:
Which of these equations has no solution 6(x - 2) = 6x - 3
2(x - 3) = 2x - 6
3(x - 2) = x - 6
Answers
go with your heart if you think that your heart is telling you something just go with it trust your instinct
Moises ate 10% of the candies in the bag. If Moises ate 16 candies, how many candies were there total in the bag?
Answers
Answer:
160
Step-by-step explanation:
10% of the candies is 16, and to get 100% from 10% is to multiply by 10.
So 10% *10 = 100%, then by association if 16 = 10%, then 16*10 will be the total 100%.
My remainder is 8. My dividend is 80. I am a 1- digit number. What divisor am I?
Answers
Answer:
9 is the answer..
Step-by-step explanation:
pls mark me the brainliest
Answer:
The divisor is 9.
Step-by-step explanation:
a) Data and Calculations:
Remainder = 8
Dividend = 80
Number divided evenly without remainder 8 = 80 - 8 = 72
72/9 = 8
b)There are four main numbers under the divisional mathematical rule. The first number is the dividend which is the number 80 that is being divided by the divisor. The divisor (9) is the number that divides 80. The quotient (8) is the result obtained by the division, while the remainder 8 is the number left over after the division.
(NEED ASAP) 15 POINTS
Answers
Answer:
1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one
Step-by-step explanation:
hope this helped!
P.S. can i pls have brainlyist am trying to lv up thx! ;D
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Step-by-step explanation:
The sum of all angles in a triangle is always 180.
So we can set up an equation
3/2x+1/2x+x= 180
3/2+1/2x+2/2x=180
3x+1x+2x=360
6x=360
x=60
To rewrite the expression ab+a+b+1, Jozelle first writes (ab+a) + (b+1). What property justifies this?
Answers
Answer:
I believe it is associative property of addition or commutative
Step-by-step explanation:
(02.02 LC)
If f(x) = 3(x + 4), find f(2).
I NEED HELP IMMEDIATELY
Answers
Answer:
f(2) = 18
Step-by-step explanation:
f(2) = 3(2 + 4)
f(2) = 3(6)
f(2) = 18
.
Shayla has 6— pounds of potato salad into containers each of which holds 1— pounds. How many containers does she need?
Answers
Answer:
she needs 6 containers.
Step-by-step explanation:
1 pound goes into each container. 6/1=6 so she needs 6 containers.
The price of parking for 2 hours or less at the airport is increasing from $2.50 to $5.00. What is the percent that the price will increase?
Answers
Answer:
100%
Step-by-step explanation:
5 - 2.5 = 2.5, 2.5 / 2.5 = 1, 1 x 100 = 100% :D
find the slope of the line passing through the following steps of points: (7,-4) and (-3,8)
Answers
Answer:
-3
Step-by-step explanation:
Finding the Equation of a Line Given Two Points:
Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the
equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y-
intercept. So, how do you find the equation of a line? There are several different ways that you can find
the equation of a line. I find the equation of a line everytime by following the same three steps:
Step 1: Find the slope of the line.
Step 2: Use the slope to find the y-intercept.
Step 3: Use steps 1 and 2 to write the answer.
I will explain these steps by looking a several examples. Please understand that there are often several
different ways to complete each math problem, but I have found through the years that students are most
successful when the do problems the same way each and every time they attempt the problem. If you
know a different way to find the answer that is great, but I am going to show how to do the problem one
way and use the same technique everytime I see this problem.
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
( )
( )
So the slope of the slope of the line passing through these two points is 3.
Step 2: Use the slope to find the y-intercept.
Now that we know the slope of the line is 3 we can plug the slope into the equation and
we get:
y = 3x + b
Next choose one of the two point to plug in for the values of x and y. It does not matter
which one of the two points you choose because you should get the same answer in either
case. I generally just choose the first point listed so I don’t have to worry about which
one I should choose.
(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.
–2 = –3 + b Solve for b and you will have the y-intercept. b=1
Step 3: Write the answer.
Using the slope of 3 and the y-intercept of 1, the answer is:
y = 3x + 1
HELP ASAP! WILL MARK BRAINLIEST
Answers
Answer:
it will be the first the 5th the 2nd and the 3rd
A boy wants to purchase 1,400 green marbles. If there are 70 green marbles in each bag, how many bags of marbles should the boy buy?
Answers
Answer:
20 bags
Step-by-step explanation:
1400/70
Answer:
20 bags
Step-by-step explanation:
1400 ÷ 70 = 20
This graph is an example of
A. a linear function
B. a nonlinear function
C. neither a linear nor nonlinear function - it is not a function at all
Answers
Answer: C
Step-by-step explanation:
The obriens are buying new windows for their house. The company installs the new windows for 2100 the total cost for buying the windows and having them installed is 5323.50 of the o'briens pay 230.25 per window how many windows did they buy
Answers
Answer:
14
Step-by-step explanation:
Given that:
Cost of purchase and installation = 5323.50
Cost per window = 230.25
Cost of installation = 2100
Hence,
Total purchase cost of windows alone :
5323.50 - 2100 = 3,223.50
Therefore, the number of windows purchased is :
(Total purchase cost of windows alone / price per window)
(3,223.50 / 230.25)
= 14
Hence, 14 windows was purchased
What is the distance from M(-1,6) to N(11, 1)?
C. 13 units
A. 12 units
B. V 149 units
D. 169 units
Please help me
Answers
Answer:
C. 13
Step-by-step explanation:
I hope u dont need work lol
Answer:
D. 169 units
Step-by-step explanation:
Leah had $24. She bought 7 sharpies and was left with $10. How much did each sharpie cost?
Answers
Answer: 2$ per sharpie
Step-by-step explanation:24 - 10= 14 7 x 2 =14
the dimensions in a rectangle are in the ratio 3:7. if the width is 18 cm, what is the length?
Answers
Answer:
42cm
Step-by-step explanation:
3:7
width:length
18cm width(7cm length/3cm width)=42cm length
ASAP HELP NOW FOR BRAINLIEST
Answers
Answer: 18 miles per hour
Step-by-step explanation: The equation shows the slope as 18. This means that the unit rate per hour (t = number of hours) is 18/1.
what is the lowest term of 27/45
Answers
Answer:
3/5
Step-by-step explanation:
[tex] \frac{27}{45} = \frac{27 \div 9}{45 \div 9} = \frac{3}{5} \\ [/tex]
10(y+3)-4y please help
Answers
Answer:6y+30
Step-by-step explanation:
simplify the expression :)<3
Answer:
6y + 30
Explanation:
10(y + 3) - 4y
Expand 10(y + 3): 10y + 30
10y + 30 - 4y
Simplify
= 6y + 30
- PNW