The corporate office building is 50m high and angle of elevation at top of building is 52° when seen from a point on level ground. The distance between point and foot of the building is
Answers
Answer:
39.06 m
Step-by-step explanation:
Given that,
Height of the building, h = 50 m
The angle of elevation at top of building is 52° when seen from a point on level ground.
We need to find the distance between point and foot of the building. Let the distance be d. Using trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular
B is base.
So,
[tex]\tan\theta=\dfrac{h}{d}\\\\d=\dfrac{h}{\tan\theta}\\\\d=\dfrac{50}{\tan(52)}\\\\d=39.06\ m[/tex]
So, the distance between point and foot of the building is 39.06 m
Applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.
Recall:
SOH CAH TOA are the common trigonometry ratios that can be used to solve a right triangle.The information of the building has been sketched in the diagram shown in the image attached below. It shows a right triangle.
The distance between the point on the ground and the foot of the building = x (adjacent)Reference angle (∅) = 52°Opposite side = 50 mApply the trigonometry ratio, TOA:
tan ∅ = opposite/adjacent
Substitutetan 52 = 50/x
x = 50/tan 52
x = 39.1 m
Therefore, applying the trigonometry ratio, TOA, the distance between the point and the foot of the building is: 39.1 m.
Learn more about trigonometry ratios on:
https://brainly.com/question/8120556
Related Questions
What does the variable "a" stand for in exponential functions represented by the equation y = a(b)x *
1.Starting amount
2.base
3.rate
4.multiplier
Answers
Answer:
Starting amount is the answer
12 = 7y + 12
Help me with this! I forgot how to do this and my teacher asked me! HELP!
Answers
Answer:
undefined
Step-by-step explanation:
12=7y+12
-12 -12
0=7y
/7 /7
undefined
you can't solve this as you can't divide 0 by a number
Answer:
Step-by-step explanation:
12 = 7y + 12
-12 -12
0 = 7y
/7 /7
0 = y
I’ll give brainliest !!! Pls help!
Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father's. The volume of the Pyramid of Khafre is about
2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.
Answers
Answer:
S = √3*2,115,072/ 136 =216
Step-by-step explanation:
Will mark brainliest
Answers
Answer:
A and C are the right answers
Step-by-step explanation:
Top row only
3 out of the 12 squares are shaded in therefore 3/12 which you can simplify into 1/4
Left column only
3 out of the 6 squares are shaded in therefore 3/6 which you can simplify into 1/2
I agree I think the correct answers are A and C
Jackie has one sister. Jackie's sister is 4 years older than her. The girls' ages add up to 28. Write an equation to solve for Jackie's age. *
Answers
Answer:
Jackie's age = 12 years and Her sister's age = 16 years
Step-by-step explanation:
Let the age of Jackie be x.
Her sister's age = (x+4)
The sum of ages = 28
ATQ,
x+x+4 = 28
2x+4 = 28
2x = 24
x = 12
Jackie's age = 12 years
Her sister's age = (12+4) = 16 years
Hence, this is the requiredsolution.
Im confused I need a bit of help
Answers
Answer:
A) 6x
Step-by-step explanation:
4x + 3x = 7x
7x - 1x (or just x) = 6x
hope this helped :)
Krutika rolls a fair dice 18 times.
How many times would Krutika expect to roll a four?
Answers
Answer:
every 6 rolls
Step-by-step explanation:
A bridge being designed will cross the river at a right angle. The equation of the left bank of the river is j = 2x+8. The center of the bridge will pass through (0,2). What is the equation of the line representing the bridge?
Answers
This is the same as y = -0.5x+2
==========================================================
Explanation:
Refer to the diagram below.
The blue line is the graph of y = 2x+8, which is the left bank of the river.
For now, ignore the y = (-1/2)x+2 in the diagram and pretend we don't know that just yet. The red line is the bridge and it's some linear equation in the form y = mx+b. We're told the bridge is perpendicular to the river, so the bridge must also be perpendicular to the riverbank.
The blue line has slope m = 2. Apply the negative reciprocal to this to end up with -1/2. This is the perpendicular slope, and the slope of the red line. Note how the two slopes (2 and -1/2) multiply to -1. Any two perpendicular lines will have their slopes multiply to -1, as long as neither line is vertical or horizontal.
Since we want the bridge to pass through (0,2), this must mean the y intercept is b = 2.
So with m = -1/2 and b = 2, we go from y = mx+b to y = (-1/2)x + 2 which is the equation of the bridge shown in red.
This is the same as y = -0.5x + 2 since -1/2 = -0.5
(this is 12 year old math)
Please help I don't understand.
Answers
9514 1404 393
Answer:
$465
Step-by-step explanation:
The problem statement tells you h represents the number of hours, and the number of hours is 7.
It also tells you f represents the number of fixtures, and the number of fixtures is 9.
And, the problem statement tells you the charge is 15h+40f, which is 15 times the number of hours plus 40 times the number of fixtures. Then the charges are ...
15·7 +40·9 = 105 +360 = 465
Ben Frank charges $465 for the work.
Answer:
if it wants an equation, 105h+360f but if its all together then its 465$
Step-by-step explanation:
15x7=105h
40x9=360f
I need help with this math problem
Answers
Answer:
tui kobic tor hada kobic furi
PLEASE HELP MEEEEEEEE
Answers
Answer:
The moon equals 7
and the stars equal 4
Step-by-step explanation:
Equation 1:
(substitute the symbols for the numbers)
7 + 1 = 4 + 4 (<< This is correct, both sides equal 8)
Equation 2:
(again, substitute the symbols)
7 = 3 + 4
That is correct.
Hope this helped! Please give Brainiest!
(Asher)
1. When Jack and Jill work together, they can carry a cooler of
water up a hill in 12 hours. When Jill works alone it takes her
7 fewer hours than when Jack works alone. How long would it
take Jack, working alone, to carry a cooler of water up a hill?
Answers
9514 1404 393
Answer:
28 hours
Step-by-step explanation:
Let x represent Jack's time. Then Jill's is x-7. Together their rate of carrying water in hills per hour is ...
1/x + 1/(x -7) = 1/12
Multiplying by 12x(x -7) gives ...
12(x -7) +12x = x(x -7)
x^2 -31x +84 = 0 . . . . . subtract the left side and simplify
(x -3)(x -28) = 0 . . . . . . . . . . factor
x = 3 or x = 28 . . . . . . . . . . x-values that make the factors zero
We know the times must be longer than 12 hours, so the value x=3 is extraneous for this problem.
It takes Jack 28 hours to carry the cooler of water up the hill working alone.
tell me w what is the book and notebook
Answers
Answer:
a book is something you read a notebook is something you write in.
Step-by-step explanation:
Solve for x:
x =?
is it;
45?
30?
22.5?
Answers
Answer:
x+3x=90
90/4= 22.5
x-22.5
Answer:
22.5
Step-by-step explanation:
its a 90 degree angle
90=3x+x
90=4x
90/4=x
x=22.5
What number is 1/2 of 4
Answers
Answer:
1/2 of four is 2
Step-by-step explanation:
A new pain reliever is advertised as being 97%
effective. To 3 decimal places, what is the
probability that the pain reliever will be effective
in 12 independent trials?
A. 0.116
B. 0.694
C. 0.970
D. 0.847
Answers
Answer:
B. 0.694
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that the pain reliever is advertised as being 97% effective, for it to be effective in 12 independent trials
= (97%) ^ 12
= 0.693842361
The is approximately 0.694 to 3 decimal places
Answer:
B. 0.694
Step-by-step explanation:
Hope this helps
Can someone tell me if I'm right or give me the answer? plzzz. I'm giving 100 points so... just answer quick. 0_0
Answers
Answer:
Yes, I think you have the answer correct!
Step-by-step explanation:
I hope you make a good grade!
i dont get this please help!
Answers
2. To solve the area of the rectangle which is (length times width) do 2x9 = 18
3. To solve the area of the triangle which is (length times width divided by 2) do 2x4/2 =4
4. Area = 18 + 4, 22 square units
A piano that cost Sunset Planos 83, 250 has a markup rate of 52%. Find the selling price of the piano
Answers
Answer:
$160,096.15
Step-by-step explanation:
the key word in this problem is the words markup price meaning an increase of 52% from the $83,250 so divide the $83,250 by 52% or .52
Jada completed her homework in 40 minutes. It took Andre 175% of Jada's time to complete the same homework. a) Who took longer to complete their homework? b) How long did it take Andre to complete his homework? Show your thinking on the tape diagram or another model.
add explanation too please
Answers
Answer: I think it took Andre 70 minutes
Step-by-step explanation:
Answer:
A.) Andre B.) 70 min
Step-by-step explanation:
A.) the key words are that it took andre 175% of Jada's time
B.)just take Jadars time 40 and multiply it by 175% or 1.75 as for the digram show Jadars as 100% and Andres as an extra 175% sorry i cant realy draw one right now
Five less than the product of 6 and a number equals 7
Answers
Answer:12
Step-by-step explanation:you start at the beginning like 6 times 1 is 6 but 6 times two is 12 minus 5 equals 7
The statement - "Five less than the product of 6 and a number equals 7" can be modelled as (6x - 5 = 7).
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement -
"Five less than the product of 6 and a number equals 7"
We can model this statement as an expression as follows. Let the number be {x}. Then, we can write that -
6x - 5 = 7
Therefore, the statement - "Five less than the product of 6 and a number equals 7" can be modelled as (6x - 5 = 7).
To solve more questions on expressions, visit the link below -
brainly.com/question/1041084
#SPJ5
How did the artists of the Harlem Renaissance try to combat stereotypes and racism?
Answers
Answer:
I answered your other question but I do not know the answer to this one, sorry
Step-by-step explanation:
look up Harlem Renaissance website for information
The end of a minute hand on a clock is 5.5 inches from the center. How far will the minute hand travel over three days
Answers
Answer:
Step-by-step explanation:
Given :
Radius, r = Length of hour hand = 5.5 inches
A complete cycle is traveled in 24 hours ;
C = 2πr
C = 2 * π * 5.5 = 34.557519 inches
In 3 days : It will travel 3 full cycles
3 * C = 3 * 34.557519 inches
= 103.672557 inches
Which of the following best describes the solution to the equation below?
28 + 6x = 9x
A.
exactly one real solution,
B.
infinite real solutions
C.
no real solutions
D.
exactly one real solution,
Answers
Answer:
Option A or D
Step-by-step explanation:
This is because only one variable is their which has only one exact real solution to satisfactory.
Answer:
D. exactly one real solutionStep-by-step explanation:
heres my answer hopes it helps :)
A swimmer is training for a upcoming meet he swims 10 laps the first day each day he increases the number of laps he swims by 5 which best describes the function
Answers
10+5=15
He swam 15 laps the second day
HELP IMMA DIE
find the inverse for each relation {(-5,1),(-5,-1)(-5,8)}
a. (8,-5) (1,-5) (-5.8)
b. (-5,1) (-5,-1) (-5,8)
c. (-1,5), (1.-5) (8,5)
d. (1,-5) (-1,-5), (8,-5)
Answers
Answer:
(5,-1) (5,1) (5,-8)
Step-by-step explanation:
Which of these statements are correct about a line segment with a length of 12 units in a coordinate plane? Select all that apply. If it is rotated 270° about the origin, its length will still be 12 units. If it is rotated 90° about the origin, its length will no longer be 12 units. If it is reflected across the line y = –x, its length will no longer be 12 units. If it is translated 18 units to the right, its length will no longer be 12 units. If it is translated 15 units up, its length will still be 12 units. If it is reflected across the y–axis, its length will still be 12 units.
Answers
Answer:
yo my fault og what am i looking at i not good at math
Answer:
Sum of interior angles in triangles there are four angles; they add up to 360°
Step-by-step explanation:
C = corner/complementary;simply draw a line on the c so that it becomes 90.
S = straight line/supplementary; Take the su, draw a 1 next to the s, put a slash through the s to make it look like an 8,
Una persona hace un trabajo en 6 horas, una segunda hace el trabajo en 8 horas y una tercera hace el trabajo en 10 horas. Si las tres personas trabajan al mismo tiempo ¿Cuánto tiempo durarán haciendo el trabajo?
a) 1 16/47 horas.
b) 2 26/47 horas.
c) 3 1/47 horas.
d) 4 36/47 horas.
Answers
Answer:
b) [tex]2\dfrac{26}{47}\ \text{horas}[/tex]
Step-by-step explanation:
Tiempo necesario para completar el trabajo en primera persona = 6 horas
Trabajo hecho en 1 hora = [tex]\dfrac{1}{6}[/tex]
Tiempo necesario para completar el trabajo por segunda persona = 8 horas
Trabajo hecho en 1 hora = [tex]\dfrac{1}{8}[/tex]
Tiempo necesario para completar el trabajo por tercera persona = 10 horas
Trabajo hecho en 1 hora = [tex]\dfrac{1}{10}[/tex]
El tiempo necesario para completar el trabajo juntos viene dado por
[tex]\dfrac{1}{\dfrac{1}{6}+\dfrac{1}{8}+\dfrac{1}{10}}=\dfrac{1}{\dfrac{47}{120}}\\ =\dfrac{120}{47}=2\dfrac{26}{47}\ \text{horas}[/tex]
El tiempo necesario para completar el trabajo juntos es [tex]2\dfrac{26}{47}\ \text{horas}[/tex].
what is an indulgence?
Answers
Answer:
In the teaching of the Catholic Church, an indulgence is "a way to reduce the amount of punishment one has to undergo for sins".
Answer:
In the teaching of the Catholic Church, an indulgence is "a way to reduce the amount of punishment one has to undergo for sins"
Step-by-step explanation:
Indulgence is the action or fact of indulging. (in the Roman Catholic Church) a grant by the Pope of remission of the temporal punishment in purgatory still due for sins after absolution. The unrestricted sale of indulgences by pardoners was a widespread abuse during the later Middle Ages.
Indulgence sentence example. The indulgence accentuated the division between those who accepted and those who rejected it. German chocolates are my only indulgence . I went to a party last night, and there out of five ladies three were Roman Catholics and had the Pope's indulgence for doing woolwork on Sundays.
plz hurry x3=−8 thanks have a good day
Answers
Answer:
x=-2
Step-by-step explanation:
-2 * -2 * -2 = -8