AOE Find the angle of elevation if you are standing 400 ft. away and the building is 850 ft. tall?
Answers
Answer:
64.8°
Step-by-step explanation:
A
Please see attached a rough sketch for your reference
Step one:
Given data
the distance you are standing from the building represent the adjacent =400ft
and the height of the building represents the opposite= 850ft
Step two:
Required is the angle of elevation
applying SOH CAH TOA
Tan ∅= opp/adj
Tan ∅= 850/400
Tan ∅=2.125
∅=Tan-1(2.125)
∅=64.8°
The angle of elevation 64.8°
You can use the fact that buildings are usually standing perpendicular to the ground and ground for smaller distance acts as if its a straight plane.
The measurement of angle of elevation is [tex]64.798^\circ[/tex]
What is angle of elevation?
What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.
Similarly, there is angle of depression when the observer looks down.
See the figure attached below to understand the symbols used in calculations.
Since the building is 850 ft tall, we can assume that our height is almost 0 in comparison to this building (the angle deduced then will be approximately equal to the real angle).
Let you're standing on point O
Let the building's base is point A.
Let the top of the building is tagged as point E.
Then we have:
Length of OA = 400 ft.
Length of AE = 850 ft.
To find: angle AOE.
By using the trigonometric ratio tangent, we get:[tex]tan(\angle AOE) = \dfrac{AE}{OA} = \dfrac{850}{400} = 2.125\\\\ m\angle AOE = arctan(2.125) = 64.798^\circ \text{\: (from calculator)}[/tex]
Thus, the measurement of angle of elevation is [tex]64.798^\circ[/tex]
Learn more about angle of elevation here:
https://brainly.com/question/12483071
Related Questions
Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system? (2 points)
Answers
Answer: 2x+y=-6
Step-by-step explanation:
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars. p = 1.25n - 475 How many candy bars must be sold to make a profit of $950?
Answers
Answer:
380 candy barsStep-by-step explanation:
Step one:
we are told that the expression for profit is
[tex]p = 1.25n - 475[/tex]-----------------1
the above equation represents the situation
given
profit is $950
Required
n=number of bars
950=1.25n-475
collect like terms
950-475=1.25n
475=1.25n
divide both sides by 1.25
n=475/1.25
n= 380candy bars
Please can u help me
Answers
Answer: p=8
Step-by-step explanation:
FH ≅ FJ --> diagonals bisect in parallelograms--> rectangle is a form of a parallelogram 4p-22 = p+2 --> Transitivity p = 8 --> AlgebraJoshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number
Answers
hello i need your help againnnn
Answers
Answer: -3 :)
Step-by-step explanation:
Mike and Ike are twins. Mike’s age is one more than twice a certain number. Ike’s age is 10 less than triple that same number. Find their ages.
Answers
M = Mike's age now
N = Nuke's age now
M = 2N - 3
Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10
what are their present ages
find M and N
substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:
4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14
M = 2(14) - 3 = 28 - 3 = 25
Mike is 25 and Nuke is 14.
check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10
Is this relation a function? Explain.
Answers
Answer:
No
Step-by-step explanation:
3 and 4 cannot both equal A since 3 doesn't =4
Answer:
yes if the numbers are the x variable, no if the numbers are y variable
Step-by-step explanation:
Estimate the following product in scientific notation, and then select the best answer for the product’s power of 10.
2.7
14
15
27
Answers
Answer:
15
Step-by-step explanation:
Pls show work or at least explain its essy but i need help
Answers
Answer: I think its D
Step-by-step explanation: If im right plz give brainliest
Use absolute value to express the distance between 8 and -5
Answers
Answer:
The distance between points 8 and -5 is 13
Step-by-step explanation:
We need to find distance between points 8 and -5
The formula used to find the distance is: [tex]Distance=|b-a|[/tex]
Absolute value is used to get only positive values. i.e |-1|=1 if required.
We are given: b=8 and a=-5
Putting values and finding distance
[tex]Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13[/tex]
So, the distance between points 8 and -5 is 13
Simplify:
a) 3y - y
b) 69 + 4 - 9 +5
Answers
Answer:
a) 2y
b) 69
Step-by-step explanation:
Which one is correct? Please hurry :)
Answers
Answer:
b: 3 cm
Step-by-step explanation:
just set up a proportion 4.5/3 = x/2 and solve for x by multiplying across and getting the equation 3x=9 and then divide by 3.
Determine which of following table is NOT a function.
Answers
Answer: C
Step-by-step explanation:
C beacause one X cannot have two different Y values
James has 30 candies. How many kids (including James) can share these candies evenly? It has to be multiple things, I think.
Answers
Answer:
So if James has 30 candy it would be best to do it in multiple ways in my opinion, so basically you can divide it among 3 kids including James where the kids get 10 each or you can divide it among 6 kids (still including James) and they all get 5 pieces of candy! Hope this helps and stay safe :)
Step-by-step explanation:
Possible Answers:
14 kids and james- 2 candies each
9 kids and james- 3 candies each
1 kid and james - 15 candies each
4 kids and james - 6 candies each
2 kids and james - 10 candies each
There might be more, but those are the ones at the top of my head
I hope this helped, please mark Brainliest, thank you!! :)
Which answer is correct? Please hurry
Answers
Answer:
15
Step-by-step explanation:
40 of them are offense players, 5 are special teams which means that 15 are defensive
Answer: 2/3 of 60 = 40
1/12 of 60 = 5
40 + 5 = 45 obviously.
45 + 15 = 60.
Therefore the amount of defensive players would be 15.
The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
Answers
Answer:
$52.50
Step-by-step explanation:
Set up the ratio:
[tex]\frac{24.50}{7}[/tex]
Simplify in order to find the cost per gallon.
The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.
Now you have this left:
[tex]\frac{3.50}{1}[/tex]
Multiply the denominator by 15 since Robert needs 15 gallons.
Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.
Now you have this left:
[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]
Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.
What is the area of ABC?
Answers
Answer:
Area of triangle ABC = 10
Option C is correct.
Step-by-step explanation:
We need to find area of triangle ABC
We are given A(2,1) B(4,7) and C(6,3)
The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:
In the given triangle base= AC and height = BC
First we need to find the distance between A and C and B and C
The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]
find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]
So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]
Finding area of triangle
[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]
So, Area of triangle ABC = 10
Option C is correct.
C-17 = 19
Hi please help
Answers
Answer:
C=36
Step-by-step explanation:
C-17=19
C=19+17
C=36
What is the y intercept? 7x+y=10
Answers
Answer:
the y intercept is y
Step-by-step explanation:
because we have the variable already/////
⚠️⚠️ Find the correct for each input. Then, tell whether the function is linear or nonlinear ⚠️⚠️
Answers
Answer:
-1, -7
1, 3
3, -1
5, -5
Step-by-step explanation:
Simplify: (5x^3y^7)(7x^5y)
Answers
Answer:
35x^8 y^8
Step-by-step explanation:
Answer:
[tex]125y {}^{5}(7x {}^{5}y)[/tex]
Help meee PLEAAASEEEEEEEEEEEE
Answers
Y=-20/133x - 10/19
Is (-1, -4) a solution to a equation y=6x_ -2?
Answers
HELP ASAPPPPP 5 POINTSSSSS
Answers
Answer:450
Step-by-step explanation:
first subctract then add
Answer:
The answer is C. The vertex is (-1,-12)
Step-by-step explanation:
What is a function in math?
if you explain I will make you brainiest!
Answers
Answer:
A function is an equation in math that connects an input to a given output.
Step-by-step explanation:
The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?
Answers
Answer:
26 minutes
Step-by-step explanation:
13:47=1 hour
Multiply by 2
26:94= 2 hours
The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and explain what it means.
Answers
Answer:
-1250/1 or -1250
This tells us that the car depreciated in value by $1250 every year.
Step-by-step explanation:
11,095-13,595= -2500
This is the value that the car has depreciated over 2 years (from the first year to the third year)
Since we need to find the slope we divide this value by two.
That value would be -1250
Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year
Hope this helps!
Juliet needs to rewrite 3 (x + 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process?
A. She could combine the x and 2 to get 3 (2 x) = 6 y.
B. She could divide both sides by 3 to get x + 2 = 2 y.
C. She could distribute the 3 to get 3 x + 2 = 6 y.
D. She could subtract the 6y to get Negative 6 y = 3 (x + 2).
Answers
Answer:
because the x+2 is in parentheses, to put the equation in slope intercept form you would distribute the 3 to the x and the 2 using multiplication. So it would be 3x+6=6y. The final result would be y=1/2x+1.
Answer:
C. She could distribute the 3 to get 3 x + 2 = 6 y.
Step-by-step explanation:
Which correctly explains how to estimate 55 percent of 64? A. Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as 1/4 so 1/4 of 60 is 15 B. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as 1/3 so 1/3 of 70 is 23.3 C. Round 55 percent to 50 percent and 64 and 70. Think of 50 percent as 1/5 so 1/5 of 60 is 12 or D. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30
Answers
Answer: Choice D
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30.
===================================================
Explanation:
There are many ways to estimate, but this is probably the easiest since 1/2 = 0.50 = 50%, and taking half of something is fairly straightforward and quick.
Taking half of 60 is like taking half of 6, except we stick at 0 at the end.
Half of 6 is 3
Half of 60 is 30
The estimate of 55% of 64 is 30
The actual value is
55% of 64 = 0.55*64 = 35.2
which isn't too far off.
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Extra info:
Choice A is false because 40% is not equal to 1/4. Instead 1/4 = 0.25 = 25%Choice B is false because 1/3 = 0.333 = 33.3% approximately, so 1/3 is not equal to 60%Choice C is false because 1/5 = 0.20 = 20% and not 50%There are 12 members in a bicycle club this fall. But next summer, Noelle hopes the number of members will be 175% of this number. What is Noelle’s goal for the number of members next summer