Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 60 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 25°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 25. 36 feet 27. 98 feet 100. 22 feet 128. 67 feet.
Answers
Angle of depression is the angle from horizontal line to the line of sight. The distance from building of the sculpture is: Option d: 128. 67 feet.
What is angle of depression?You look straight parallel to ground. But when you have to watch something down, then you take your sight up by moving your head down. The angle from horizontal to the point where you stopped your head is called angle of depression.
For the given case, referring to the figure, we have:
Length of BC = |BC| = 60 ft.
Length of AB = |AB| = x ft (distance of sculpture from building horizontally).
∠CAB = 25°
Thus, using tangent ratio from point of view of ∠CAB, we get:
[tex]\tan(25^\circ) = \dfrac{|BC|}{|AB|} = \dfrac{60}{x}\\\\x = \dfrac{60}{tan(25^\circ)} \approx 128.67 \: \rm ft[/tex]
(value of tan25° was calculated from calculator available online)
Thus,
The distance from building of the sculpture is: Option d: 128. 67 feet.
Learn more about angle of depression here:
https://brainly.com/question/10564373
Answer: D:128.68
Step-by-step explanation:
i got it write on my test .
Related Questions
Andy, ben and Cathy have £177 between them. Cathy has 3 times as much as ben. andy has £12 more than ben
Answers
Ben: $33
Cathy: $99
a+b+c=177
c=3b
a=b+12
b+12+b+3b=177
5b+12=177
-12 -12
-----------------
5b=165
---- -----
5 5
b=33
Because of the commutative property of multiplication, it is true that 3 4 × 4 = 4 × 3 4 . However, these expressions can be calculated in different ways even though the solutions will be the same. Below, show two different ways of solving this problem. First, show how 3 4 × 4 can be solved using repeated addition, Then, show how 4x3/4 can be solved using multiplication and division.
the main one i need help with is the multiplication
Answers
Answer:
4x3/4=3
Step-by-step explanation:
Multiplication(Do the multiplication first): 4x3/4=12/4=3
Division(Do the division first): 4x0.75=3
Hope this helped! Please give Brainliest if possible.
Help me pleasee guyss
Answers
Answer:
9.5 mm
Step-by-step explanation:
They gave the diameter, and we needed to find the radius
r = d × 1/2
r = 19 × 1/2
r = 9.5 mm
You had a bag of fruit snacks that you shared with 4 friends. Each of you got at most 6 fruit snacks. The inequality x÷5≤6 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.
Answers
Answer: The possible numbers of fruit snacks that were in the bag is x < 18
Step-by-step explanation: Good luck :D
So bad at this someone help
Answers
Answer:
Volume of a cylinder : πr^2h
: π = 22/7
: r = 9
: h = 20
: 22/7 × 9^2 × 20
: 5091.4 (corrected to 1.dp )
Answer:
5089.4 cm³
Step-by-step explanation:
You want the volume of a cylinder with radius 9 cm and height 20 cm.
VolumeThe volume of a cylinder is given by the formula ...
V = πr²h
ApplicationFor r = 9 cm and h = 20 cm, the volume is ...
V = π(9 cm)²(20 cm) = 1620π cm³
The value you get for this depends on the value you use for π. The attachment shows the three common choices: "π button", 3.14, 22/7.
Using the "pi button" value provided by a calculator, the volume is ...
5089.4 cm³
<95141404393>
Shikha has quiz scores of 27, 25, 24, 26 and 25 this term. If she gets a score of 25 and 28, which part of the data( mean, median, mode or range) will be affected? Explain your reasoning.
Answers
Answer:
mean and range
arrangement before: 24,25,25,26,27
arrangement after: 24,25,25,25,26,27,28
mean before: (27+25+24+26+25)/5 = 25.4
mean after: (27+25+24+26+25+25+28))/5 = 25.7
median before: 25
median after: 25
mode before: 25
mode after: 25
range before: 24 to 27
range after: 24 to 28
hence, the mean and range were affected while the median and mode remained unchanged.
the temperature in Austria one morning is -5 degrees Celsius at 8:00 and increased by 2 degrees Celsius every hour until 12:00. wht will the temperature be
at 11:30
Answers
The equation illustrates that the temperature by 11:30 am will be 2 degree Celcius.
How to solve the equationIt should be noted that there are 3 hours and 30 minutes from 8 am to 11.30 am.
Therefore, the temperature by 11:30 will be:
= -5 + 2(3.5)
= -5 + 7
= 2°
In conclusion, the correct option is 2°.
Learn more about equations on:
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If 120% is £360, what is 100%?
Answers
Answer:
300
Step-by-step explanation:
To get from 120% to 100% you divide by 1.2 360/1.2=300 :)
Please help all questions shown
Answers
Answer:
27. x=7/20; 28. m= 3.7; 29. a= 5.8
30. x= 6; 31.x= 46
Step-by-step explanation:
27.
[tex]x + \frac{2}{3} = \frac{9}{ 10} [/tex]
you are going to carry the 2/3 over the equal sign. This will make the 2/3 negative so...
[tex]x = \frac{9}{10} - \frac{2}{3} [/tex]
now calculate it by finding the LCM of 10 and 3 ....this will be 30....you can just multiply the 10 and 3
now
30 into 10 goes 3 times....you will multiply this 3 with the 9 to get 27
30 into 3 goes 10 times...you will multiply this 10 with the 2 to get 20
[tex]x = \frac{27 - 20}{30}[/tex]
[tex]x = \frac{7}{30} [/tex]
Hopefully you understand
28.
[tex]1.2 = m - 2.5[/tex]
[tex]1.2 + 2.5 = m[/tex]
carry the 2.5 over the equal sign to get the m by itself...this is because you are trying to find m
when the negative number goes over the equal sign it will become positive...this is why you add it to the 1.2
m= 3.7
you can do the other on your own
the error in 30 is that the 7 should not be added to the 13 but subtracted
..this is because when you carry the positive number over the equal sign it will become negative..hence you subtract it
[tex]x + 7 = 13[/tex]
[tex]x = 13 - 7[/tex]
[tex]x = 6[/tex]
and for 31...the 12 should not be subtracted but added since when it goes over the equal sign it will become positive.
[tex]34= y - 12[/tex]
[tex]34 + 12 = y[/tex]
[tex]y = 46[/tex]
How do I do number 1
Answers
Answer:
try using a graphing calculator.
Step-by-step explanation:
I know this doesn't really answer your question, but it gets you closer to the answer. Just put your problem into go-ogle, and go-ogle should spit out a graph with the answers of x and y right on it.
please help me!!! 50 points
Answers
Answer:
b no solution
Step-by-step explanation:
there is no solution
Answer:
The answer is B
Step-by-step explanation:
And B is no solution.
Hope this helps!
Answer this question please!
Answers
I'm on a time crunch and I need to get a lot of homework done TODAY. Can someone help?
Answers
ayooo im on a time crunch too, i get you man
the complete factors are (x+11)(x-11)
(x+11) (x-11)
11 and 11 make 121
How many cúbic centímeters are in the completéd display?
Answers
Answer:
machikne up girls i will help you 4 cubic centimeter are in the completed display
George believes the Art Club students at his school have an unfair advantage in being assigned to the art class they request. He asked 500 students at his school the following questions: "Are you in the Art Club?" and "Did you get the art class you requested?" The results are shown in the table below:
Art Club Not in Art Club Total
Received art class requested 100 265 365
Did not get art class requested 65 70 135
Total 165 335 500
Help George determine if all students at his school have an equal opportunity to get into the art class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answers
Answer: Not fair
Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.
Students who are not already members of the art club have a better chance of receiving their preferred class assignment.
You are given the same circumstance as in the previous problem and, once again,VW is the midsegment of RSt what is VW
Answers
Answer:
9
Step-by-step explanation:
The reason is from the triangle midsegment theorem in which the midsegment end up being half of the third side knowing that Rt is 18cm then VW is 9
Which number is greater and by how much? 600 or 600 decreased by 20% and then uncreased by 20% of the result
Answers
Answer:
600.
Step-by-step explanation:
Hope this helps!
linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4
Answers
Answer:
(c) y-2 = -4(x-3)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line through point (h, k) with slope m
For (h, k) = (3, 2), and m = -4, the equation of the line is ...
y -2 = -4(x -3)
if not able to awnser say it in the comments
What is the solution to the equation
x-5/6=-1
I Enter your answer as a fraction in simplest form in the box
Answers
Answer:
x= -1/6
Step-by-step explanation:
x-5/6 = -1
Add 5/6 to both sides
x = - 1/6
how to do this
y = 2x − 1
y = −4x − 7
Answers
Answer: ur answer would be 27283
Step-by-step explanation:
The question is in the picture please help fast
Answers
Answer:
y = 4x - 57
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~
( 15 , 3 )
( 19 , 19 )
m = [tex]\frac{19-3}{19-15}[/tex] = 4
y - 3 = 4 ( x - 15 )
y = 4x - 57
A car starts 40 meters away from home and every minute the car travels an additional 1000 meters. What
equation can represent this word problem?
Y=Mx+b
Answers
ion need the work js gimme the answer thanks
Answers
Answer:
4) Subtract 7 - 6 because is shows the difference between the two numbers.
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
Missing denominator = 36
Step-by-step explanation:
Let us assume that,
→ Missing denominator = x
Now we have to,
→ Find the required value of x.
Forming the equation,
→ 27/x = 3/4
Then the value of x will be,
→ 27/x = 3/4
→ 27 × 4 = 3 × x
→ 108 = 3x
→ 3x = 108
→ x = 108/3
→ [ x = 36 ]
Hence, the value of x is 36.
hurry xdd A store had apples on sale for $1.20 a pound. Joan spent $5.28 on apples. How many pounds did she buy?
Answers
Answer:
4-6 not sure where but around 4-6 maybe 5 pounds
Step-by-step explanation:
hope this helps
Answer:
Its 4.4 pounds.
Step-by-step explanation: To find the answer you would just divide the amount she spent and the price per pound.
will give brainlist plus will give brianlist plus 20 points
Answers
Answer: 8 60 70 i think if i am wrong pls let me know ty :D
Step-by-step explanation:
Carla has 22% of her paycheck taken for taxes. If the amount taken for taxes is $136.40, what is the amount of Carla's paycheck before taxes are taken out
Answers
Answer:
$620
Step-by-step explanation:
WILL GIVE BRAINLY 15 points as well
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Enter your answer in the box.
Answers
What is equivalent to 4x -8? a: 2 (2x - 6) b: 2 (2x - 4) c: x - 8 + 3x
Answers
Answer:
The answer is b) 2(2x-4) and c)
Step-by-step explanation:
Okay lets try a) 2(2x-6)
2 x 2x - 2 x 6= 4x-12
b) 2(2x-4)
2 x 2x - 2 x 4=4x-8
c) : x-8+3x
x+3x-8=4x-8
If there are 8 boys and 56 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answers
Answer:
1:7 , 2:14, 4:28, 8:56
Step-by-step explanation:
Ratios act just like fractions, because of this, you can simplify ratios just as you would simplify a fraction. In addition, because they asked for the ratio of boys to girls, we know that they want the (number of boys): (number of girls)
HOPE THIS HELPS!!!