From the top of a building, the angle of elevation to the top of a nearby building is 28° and the angle of depressions to the bottom of the nearby building is 48°. The distance between the two buildings is 50m, as shown in the diagram below. What is the height of the taller building, to the nearest tenth of a metre?
Answers
Answer:
Step-by-step explanation:
The idea here is to find the value for x and y, then add them together. See the pic I attached below. We will solve for side x first.
Side s is across from the reference angle of 48 degrees; side measuring 50 m is adjacent to the reference angle 48 degrees. Therefore, we will use the tangent ratio to solve for x:
[tex]tan48=\frac{x}{50}[/tex] and
50tan(48) = x so
x = 55.53m
Now we will do the same and solve for y. This time the reference angle is 28 degrees. Side y is opposite the reference angle and the side measuring 50 is adjacent to the reference angle, so we will use the tangent ratio again:
[tex]tan28=\frac{y}{50}[/tex] and
50tan(28) = y so
y = 26.59. Therefore,
x + y = 55.53 + 26.59 and
the height of the taller building is
82.1 m
Related Questions
Write and graph the inverse variation in which y = 12 when x = –4. URGENT!!!!!!!
Answers
[tex]12=\frac{k}{-4} \\k = -48[/tex]
Therefore: [tex]y=\frac{-48}{x}[/tex]
Find the median and mean of the data set below:
13,6,47,0
Answers
Mean: add up all the numbers, then divide by how many numbers there are.
13+6+47+0=66
Since there are 4 numbers, divide it by 4 and you get 16.5 for your answer.
Median: arrange your numbers (from smallest to largest) then find the middle number
0,6,13,47
Since there are two numbers in the middle (6 and 13)
Add up those two numbers and divide it by 2.
6+13=19
19/2=9.5
Answer:
Median:9.5
Mean:16.5
Step-by-step explanation:
Median: Put them in order, find the middle, since there is two median we add them together, then divide them by 2 and there's your answer.
Mean: Add the numbers: 0+ 6+ 13+47= 66
Divide by how many numbers (there are 4 numbers): 66/ 4= 8
Hope this helps
Plz like& brainly :D
Can anyone help please and thanks
Answers
Answer:
7.02 ft
Step-by-step explanation:
Tan=opposite/adjacent
Tan(78)=x/33X×Tan(78)=334.70x=33do 33 divided by 4.70then you'll get 7.02 if your calculator is on Radian in modeAnswer:
7.02 ft
hi
your welcome have a good
day
Step-by-step explanation:
Tran takes a sheet of paper and cuts from one corner to the opposite
corner, making two triangles. If the piece of paper is 3 inches long and
8 inches wide, what is the perimeter of one of the triangles (nearest
tenth)?
Answers
...........................................................
.
Answers
Answer:
3hope it help
Step-by-step explanation:
Help please .............
Answers
Answer:
i believe it would be D
Step-by-step explanation:
What is the formula to find the rate of discount when M.P and S.P after discount is given.
Answers
Answer:
Selling Price = M.P. – Discount = 100 – 5 = Rs. 95. If S.P. is Rs 95, then M.P. is Rs. 100.
Answer:
mp=sp+d
Step-by-step explanation:
mp- marked price
sp=selling price
d=discount
answer this for points and brainilest
Answers
Answer:
e = -2
Step-by-step explanation:
Hey man, I got straight A's in math all year so here's the answer!
Good Luck! :)
$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years
Use the compound interest table to find each balance
Will give brainliest 5 stars and thanks
Answers
Answer:
[tex]\$13,107.96[/tex]
Step-by-step explanation:
Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.
Therefore, we can set up the following equation to find the new balance after 2 years:
[tex]\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}[/tex]
Using the box plot of quiz scores below, what percent age of students scored above 85?
Answers
Answer:
that would be B.
Step-by-step explanation:
its at the end and it is only 25% of it there is no way it could be 75% or 50% so the best choice would be 25% B
Which operation would be last when solving the inequality -5x + 9 < -6
Answers
Answer: divding both sides by -5
Step-by-step explanation:
Subtract 9 from both sides.
−5x+9−9<−6−9
−5x<−15
Step 2: Divide both sides by -5.
−5x/−5<−15/−5
x>3
What is an expression with a single exponent for 10^3 • 10^9
Answers
Answer:
10^12
Step-by-step explanation:
PLZ HELP I BEG UU !! 50 POINTS AND BRANLIEST>
Answers
Answer: 102.5
Step-by-step explanation:
Area of triangle: 8*6=48, 48/2=24
Area of semicircle: 2pir^2=2pi(5)^2=157
Because its semi circle it is 157/2 which equals 78.5
Total area:24+78.5=102.5
Answer:
102.5
Step-by-step explanation:
Semi circle = 78.54 ≈ 78.5
Using formula A = πr²
Area triangle = 24
Using formula A = 1/2(bh)
Sum = 78.5 + 24 = 102.5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help ASAP I’ll mark you as brainlister
Answers
Answer:
volume is 4712.39
Step-by-step explanation:
looked it up lol
Help me please! Only if you know:)
Answers
Answer:
a,b,c,d
Step-by-step explanation:
ajjskakskskkdkdks
please answer thankyou in advanced
Answers
Answer:
15.3cm^2
Step-by-step explanation:
Area
a = (b1 + b2)/2 * h
a = (2 + 7)/2 * 3.2
a = 9/2 * 3.2
a = 15.3
Lee surveyed his friends to find out their favorite sport. 8 out of 12
preferred soccer. Suppose this trend continues and he surveys 6 more
friends. How many of them will prefer soccer?
Answers
Answer:
I got 4
Step-by-step explanation:
I included a picture of how I did it
What is the volume of the figure down below?
Answers
Answer:
C is correct....
Good Luck!!!
A triangle is formed by A(0,1), B(1,0), and C(2,4). If the triangle is rotated 90 degrees counterclockwise, which algebraic representation would be used? Select one:
0 (2, y) + (-1, - y)
O (, y) + (y, - 2)
0 (2,y) → ( - 1, y)
0 (2,y) → ( - y, z)
Answers
Answer:
[tex](x,y) \to (-y,x)[/tex]
Step-by-step explanation:
Given
[tex]A = (0,1)[/tex]
[tex]B = (1,0)[/tex]
[tex]C = (2,4)[/tex]
90 degrees counterclockwise rotation
Required
The algebraic representation
Let the coordinate point be [tex](x,y)[/tex]
The rule of 90 degrees counterclockwise rotation is:
[tex](x,y) \to (-y,x)[/tex]
So, we have:
[tex]A = (0,1)[/tex] [tex]\to (-1,0)[/tex]
[tex]B = (1,0)[/tex] [tex]\to (0,1)[/tex]
[tex]C = (2,4)[/tex] [tex]\to (-4,2)[/tex]
hy , anyone here............!
Answers
Hiya
Many are here.........
Answer:
Step-by-step explanation:
hello
Area=10mmx18mm=
Please help
Answers
Step-by-step explanation:
if area is = 10mm *18mm = 180mm2
Majed made 208$ for 13 hours of work. At the same rate, how much would he make for 7 hours of work
Answers
Answer:
230
Step-by-step explanation: because he worked 13 hours early at the same rate
Answer:
$230
Step-by-step explanation:
Identify the volume of the hemisphere in terms of π. HELP ME PLEASE!!! THE RED IS THE ONE I GOT WRONG!
Answers
Answer:
6174π
Step-by-step explanation:
The equation for a whole sphere is 4/3 π(r)³
Given the diameter of 42, we can conclude that the radius would be 21
Next, we would plug in these variables and get 4/3 π(21)³
Simplify all of this down and you would get 12348π
Keep in mind that we are working with a hemisphere. That means that we need to take half of 12348π
Divide that by 2 and you get 6174π
Hope this helps! :)
Solve the system of equations by substitution method
y=2x-1/2
2x-3y=4
Enter your answer, as decimals, in the boxes
( , )
Thank you!!
Answers
( - 0.625, - 1.75 )
so since the first equation is already simplified , just replace it in the second equation
Write the equation of a line that has a slope of 1 that passes through the point (2,4)
Answers
Answer:
given slope is 1
and passes through 2,4
y-4=m(x-x1)
y-4=1(x-2)
y-4=1x+2
so-1x+y=2
Which system of equations is equivalent to the system of equations shown? 2x + 5y = -2 4x + 7y = 8
Answers
Answer:
x=9, y=-4. (9, -4).
Step-by-step explanation:
2x+5y=-2
4x+7y=8
--------------
-2(2x+5y)=-2(-2)
4x+7y=8
---------------------
-4x-10y=4
4x+7y=8
--------------
-3y=12
y=12/-3
y=-4
2x+5(-4)=-2
2x-20=-2
2x=-2+20
2x=18
x=18/2
x=9
PLS HELP! WILL GIVE BRAINLIST!!!!
The following expression is a polynomial: 3x^2y^2 - 2xy
Part A: Classify the polynomial according to its number of terms. Explain how you know your answer is correct.
Part B: Classify the polynomial according to its degree. Explain how you know your answer is correct
Answers
Answer:
It is a trinomal because there is 3 terms
It is a quadratic because the highest degree is x^2
All in all, It is a Quadratic Trinomal
Step-by-step explanation:
The scatter plot shows the amount of sleep of aria got the night before a test and her test scores. What type of relationship do u see between amount of sleep and test scores?
Answers
Write an equation of the line below ?
Answers
Answer:
-2/6 x -2
Step-by-step explanation:
the slope is -2/6 and y int is -2
kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying the coffee, she had $39.24 left on her card. how many pounds of coffee did she buy?
Answers
70-39.24=30.76
30.76 ÷ 7.69= 4