Answer: 59.04
Step-by-step explanation:
tan 16= x/200
tan16/1=x/200
200 tan 16=x
x=57.349077...
x=57.349077...
Add 1.69, the distance from the ground to her eye:
57.349077...+1.69= 59.039077...
≈ The skyscraper is 59.04 meters tall.
You can use right triangles to get the height of the skyscraper.
The height of the skyscraper is 59.04 meters approximately.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It is measured from the horizontal line DC.
How to use right triangles to find the height of the specified sky scrapper?Remember that we assume that building is vertical to the ground. This means, there is 90° formation.
Since the distance from the base of the building is given and the angle of elevation is given, we have enough data to construct a specific right triangle where the vertical line opposite to the angle of elevation is of the measure of the height of the building.
And then we can use tangent ratio which relates perpendicular and base to the considered angle.
Remember that trigonometric ratios are defined for right triangles only(those triangles who have one of the angle as of 90 degrees).
See the diagram attached below, where the length AE is the building's height. AD is same as CB which is height of Penelope(a person who is watching the top of that given skyscraper).
For the right angle triangle EDC, and for the angle considered ∠ECD, we have the perpendicular as side opposite to the angle ∠ECD which is ED and the base is DC. Thus, the tangent ratio of ∠ECD is given by
[tex]tan(\angle ECD) = \dfrac{Perpendicular \: to \: \angle ECD}{Base \: to \: \angle ECD } = \dfrac{ED}{DC} = \dfrac{h - 1.69}{200}\\tan(16^\circ) = \dfrac{h - 1.69}{200}\\[/tex]
DC = AB and DA = CB because of ABCD being a rectangle because of building and person both standing vertical to the ground and the line DC being parallel to the ground, thus all angles being right angle(of 90 degrees).
From the calculator, the value of tan(16°) is approx 0.2867
Thus, putting this value in the obtained equation, we get:
[tex]tan(16^\circ) = \dfrac{h - 1.69}{200}\\0.2867 = \dfrac{h-1.69}{200}\\\\0.2867 \times 200 = h - 1.69 \\57.35 + 1.69 = h\\h = 59.04 \: \rm meters[/tex]
Thus, the height of the specified skyscraper is approx 59.04 meters.
Learn more about trigonometric ratios here:
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On a math test, a group of children scored 25, 17, 21, 25, 23, 21, 27, 21, and 18 out of a total of 30. Find their median.
Answer:
21
Step-by-step explanation:
Place the values in ascending order like this:
17,18,21,21,21,23,25,25,27
Find the middle value:
21
So 21 is the median
Solve for x. Enter the solutions from least to greatest. 3x^2 – 33x + 54 = 0
lesser x =? greater x=?
Answer:
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide the whole equation by 3
x²- 11x + 18 = 0
Sum = -11
Product = 18
Factors = -9 , -2 { - 9 + (-2) = -11 ; (-9) *(-2) = 18}
x² - 2x - 9x + -9 * -2 = 0
x(x - 2) - 9(x - 2) = 0
(x-2)(x-9) = 0
x - 2 = 0 ; x - 9 = 0
x = 2 ;x = 9
Lesser x = 2
greater x = 9
Answer:
lesser x = 2
greater x = 9
Step-by-step explanation:
3x² - 33x + 54 = 0
Divide both side of the equation by 3
x² - 11 x + 18 = 0
x² - 2x - 9x + 18 = 0
x ( x - 2 ) - 9 ( x - 2 ) = 0
( x - 9 ) ( x - 2) = 0
x - 2= 0 ; x - 9 = 0
solve for x
x = 2 ; x = 9
lesser x = 2
greater x = 9
Find the values of x,y, and z and the perimeter
Karl is making a pot of chili. The recipe calls for StartFraction 3 Over 8 EndFraction cup of chili powder, but Karl only wants to use half as much so it won’t be so spicy. How much chili powder should Karl use?
Answer:
3/16 or 3 over 16
Step-by-step explanation:
Find half of 3/8:
1/2x3/8 = 3/16
In a group of 20 students there are 12 boys and 8 girls 4 of the boys play on foot ball team what is the probability of choosing 1 student at random from the group who is not on football team
Answer:
There is a 1 in 5 chance. (1/5)
Express Cos K as a fraction in the simplest terms.
The correct value of Cos K is 5/23
Step-by-step explanation:
In a right angle triangle, there are 3 side
1. Hypothenus (this is the longest)
2. Adjacent
3. Opposite
However, we can only determine the adjacent and opposite if an angle is marked in the triangle.
Now, we shall determine the value of Cos K. This can be obtaineasobtain as followed:
From the question given above, the following data were obtained:
Hypothenus = 23
Adjacent = 5
Cos K =? C
The value of Cos K can be obtained by using the cosine ratio as as illustrated below:
[tex]Cos K =\frac{Adjacent}{Hypothenus}\\\\Cos K = \frac{5}{23}[/tex]
Therefore, the value of Cos K is 5/23
Learn more: https://brainly.com/question/12369466
Question 15 of 44
Which of the following arcs are congruent in the circle below
Use abc to find the trigonometric ratios. Enter your answer as fractions
Answer:
Tan <A = 4/3
Cos <A = 3/5
Sin <A = 4/5
Step-by-step explanation:
From the diagram given
Hypotenuse AB = 10
Adjacent = 6
Opposite = 8 (side facingc<A)
According to SOH CAH TOA
Tan <A = Opposite/adjacent
Tan <A = BC/AC
Tan <A = 8/6
Tan <A = 4/3
For Cos <A;
Cos <A = adj/hyp
Cos <A = 6/10
Cos <A = 3/5
For sin<A:
Sin <A = opp/hyp
Sin <A = 8/10
Sin <A = 4/5
Value of x? Complementary angles, easy.
Answer:
14 = x
Hope that this helps!
Question 4 of 12
Write a point-slope equation for the line that passes through the point (1, 22)
and is parallel to the line given by y = 14x-3. Do not use parenthesis on the y
side.
Answer:
y - 22 = 14(x - 1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 14x - 3 ← is in slope- intercept form
with slope m = 14
Parallel lines have equal slopes
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 14 and (a, b) = (1, 22) , then
y - 22 = 14(x - 1)
The lateral area of a cylinder is 3,620 square inches. The radius is 9 inches. Describe the height of the cylinder in terms of inches.
Answer:
64.05 in
Step-by-step explanation:
Lateral surface area of a cylinder = 2πrh
π= 3.14
r = radius = 9
h = height
3620 = 2 x 3.14 x 9 x h
3620 = 56.52h
h = 3620 / 56.52
h = 64.05 in
Check whether the number 465798 is divisible by 9. Write the steps.
Answer:
No, the answer would be 51755.3 (repeating), so no.
Step-by-step explanation:
Find the value of x
please help
Answer:
It's 4+33-37 so that's the answer
1/8 pens are in a bag and is to be shared between 3 people . What fraction of pen should each person get?
Answer:
1/24
Step-by-step explanation:
1/8 divided 3/1
1/8 x 1/3=1/24
Sarah's gross income last month was £1260. She pays 20% tax on her gross income. How much tax did Sarah pay last month?
Answer:
£252
Step-by-step explanation:
20% of £1260 = £252
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25 which of the following is most likely the population parameter
0.25
0.45
0.35
0.15
Answer:
0.25
Step-by-step explanation:
Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25
To It’s centered around 0.25 then the parameter would be 0.25.
We have given,
Suppose that many large samples were taken from a population and the sample proportion centered around 0.25
We have to determine which of the given is most likely the population parameter.
What is the center parameter in the large sample?
A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.
To It’s centered around 0.25 then the parameter would be 0.25
Therefore option A(0.25) is correct
To It’s centered around 0.25 then the parameter would be 0.25.
To learn more about the population parameter visit:
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The number of lawns l that a volunteer can mow in a day varies inversely with the number of
shrubs s that need to be pruned that day. If the volunteer can prune 6 shrubs and mow 8
lawns in one day, then how many lawns can be mowed if there are only 3 shrubs to be
pruned?
Answer:
12
Step-by-step explanation:
divide 8 by 6
=1.333333333333
1.333333333333 times 9
=12
edsedsedsedsedseds HELP PLZ FAST
Answer:
12x + 300 = 450
Step-by-step explanation:
Overtime payment = $12/hWeekly income = $300Overtime hours = x
Equation:
12x + 300 = 450what is psychology?
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Answer:
the scientific study of the human mind and its functions, especially those affecting behaviour in a given context.
Step-by-step explanation:
the width of a rectangle is 2x²+9x-7 and the length is x²-9. Find the perimeter of the rectangle.
Answer:
---
Step-by-step explanation:
W=2x²+9x-7
L=x²-9
2(3x²+9x-16)
6x²+18x-32
The bold is the perimeter.
---
hope it helps
Now that you know the height of the cone how can you solve for the slant height?
Answer:
imagine a triangle
one side is just upwards trough the cone, one side is the radius of the circle and the last one is the slant height.
remember the pythagoras stuff
so
(slantheight)² = radius² + height²
or finally:
slantheight = squareroot (radius² + height²)
The graph of an absolute value function = a|x| includes the point (1,6). Complete the following statements. The value of a is ____
Answer:
6
Step-by-step explanation:
y = f(x)
6 = a |1 |
6 = a. 1
a = 6/1
a = 6
Answer:
[tex] \displaystyle a = 6[/tex]
Step-by-step explanation:
we are given a absolute value function
[tex] \displaystyle f(x) = a |x| [/tex]
we want to figure out the value of a
since we are a point which is on the function we can figure out a by using the point i.e (1,6) this point tell us when x is 1 f(x) is 6 thus
substitute:
[tex] \displaystyle 6= a \cdot |1| [/tex]
absolute value of any integer is positive therefore,
[tex] \displaystyle 6= a \cdot 1[/tex]
simplify multiplication:
[tex] \displaystyle 6= a [/tex]
hence,
the value of a is [tex]\underline{\quad 6 \quad}[/tex]
Write the equation of a line that has a slope of 1/2 and passes through (6, -4). Write your answer in slope-intercept form. PLEASE HELP
Answer:
y = 1/2x - 7
Step-by-step explanation:
y = 1/2x + b
-4 = 1/2(6) + b
-4 = 3 + b
-7 = b
The half price of helium-5 is 7.6 X 10 to the power of negative 22 seconds and the half-life helium -9 is 7 x 10 to the power of negative 21-second approximately how many times greater is the half life of helium and -9 then that of helium -5
Answer:
Approximately 9.211 times
Step-by-step explanation:
Given
[tex]x = 7.6 * 10^{-22}s[/tex] --- half life of helium-5
[tex]y = 7 * 10^{-21}s[/tex] --- half life of helium-9
Required
How many times greater is y than x
To do this, we simply divide y by x
[tex]\frac{y}{x} = \frac{7 * 10^{-21}s}{7.6 * 10^{-22}s}[/tex]
[tex]\frac{y}{x} = \frac{7 * 10^{-21}}{7.6 * 10^{-22}}[/tex]
Apply law of indices
[tex]\frac{y}{x} = \frac{7 * 10^{-21--22}}{7.6}[/tex]
[tex]\frac{y}{x} = \frac{7 * 10^{-21+22}}{7.6}[/tex]
[tex]\frac{y}{x} = \frac{7 * 10}{7.6}[/tex]
[tex]\frac{y}{x} = \frac{70}{7.6}[/tex]
[tex]\frac{y}{x} = 9.211[/tex]
margos hybrid car uses 1/50 of a gallon for every mile margo drives. Margo drove her car 200 miles to visit her aunt. when she left her house the cars had tank was full. when she arrived at her aunts house the gas tank contained 8 gallons of gas. She did not stop for gas along the way
Answer:
4 gallons
Step-by-step explanation:
you multiply 200/1 by 1/50 and then solve. So it would be 200/50 or 4 gallons.
What is the quotient?
t+3/t+4
Answer:
[tex] \frac{t + 3}{t + 4} = 1 - \frac{1}{t + 4} [/tex]
pls i need all of you for asking this question and pls help me
Find the difference: 48.23 – 9.675
Answer: 38.555
Step-by-step explanation:
What is the area please
Troll answers will be reported from 3 different alts
Answer:
If I'm not mistaken the correct answer would be 241.
Step-by-step explanation:
I always split it up by doing 12x11, then 6x5, 7x10, 3x3, then you add the answers together to get 241
Parallelogram T U V S is shown. Angle U is (4 x + 9) degrees and angle V is (6 x minus 29) degrees.
Which angles equal 91°?
angles T and V
angles S and U
angles U and V
angles S and T
==========================================================
Explanation:
Angles U and V are adjacent angles since they are right next to each other in the letter sequence TUVS.
When dealing with parallelograms, adjacent angles are always supplementary (meaning they add to 180).
U+V = 180
(4x+9) + (6x-29) = 180
10x-20 = 180
10x = 180+20
10x = 200
x = 200/10
x = 20
Use this x value to find each angle mentioned
angle U = 4x+9 = 4*20+9 = 89 degreesangle V = 6x-29 = 6*20-29 = 91 degreesWe can see that U+V = 89+91 = 180 which helps confirm our answer so far.
Angle V is part of the answer we want. The angle opposite this is angle T.
We can identify a pair of opposite angles by looking at letters where they are separated by some other letter between them.
Opposite angles in a parallelogram are always the same measure. Both angles T and V are 91 degrees.
That means angles U and S are each 89 degrees.
Answer:
The answer is A- angles T and V
Step-by-step explanation:
took test on egde
