Need help with this trigonometry word problem
From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.
Please show your work
Answers
Answer:
30√3 m ≈ 52 m
Step-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.
The distance between the tree and the tower is about 30√3 m ≈ 52 m.
__
If you haven't memorized the ratios of this special triangle, you can use the relation ...
Tan = Opposite/Adjacent
tan(30°) = 30/d
d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above
Related Questions
Someone please help me I’ll give out brainliest please don’t answer if you don’t know
Answers
Answer:
-2x
Step-by-step explanation:
-x + 1 - (1 + x)
-x + 1 -1 -x
-2x
Work out the volume of this cylinder? 28mm height and 30mm base. Who answers this early and first is the brainliest
Answers
Answer:
19,792.0mm³
Step-by-step explanation:
π×radius²×height
π×15²×28=19792.03372 rounded to 1dp would ne
19,792.0mm³
the diameter is 30, which is also the base divide by two which makes 15 which will be your radius of your circle.
A population of bacteria grows according to the function p(t) = po · 1.42, where t is measured in hours. If
the initial population size was 1,000 cells, approximately hoy long will the it take the population to exceed 10,000
cells? Round your answer to the nearest tenth.
Answers
Answer:
The time duration for the population to exceed 10,000 is approximately 6.6 hours
Step-by-step explanation:
The given equation for the population of a bacteria is presented as follows;
[tex]p(t) = P_0 \cdot 1.42^t[/tex]
Where;
t = The time duration in hours
The initial population of the cells = 1,000
Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0
∴ P(0) = 1,000 = P₀ × 1 = P₀
P₀ = 1,000
When the population is 10,000, we have;
P(t) = 10,000 = 1,000 × 1.42^t
∴ 1.42^t = 10,000/1,000 = 10
㏒(1.42^t) = ㏒(10) = 1
∴ t × ㏒(1.42) = 1
t = 1/㏒(1.42) = 6.56649071898
∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.
PLEASE HELPPPP ASAP!!!! I REALLY NEED IT! WILL MARK BRAINLIEST!!!!
I PUT ALL MY POINTS INTO THIS QUESTION
Answers
Answer:
3.3
Step-by-step explanation:
d = (10 - 4) + (8 - 3)
d = 6 + 5
d = square root of 11
d = 3.31662479 or 3.3
I'll be expecting that brainliest :)
Which of the following add carbon dioxide to the atmosphere
Answers
Answer:
Carbon dioxide is added to the atmosphere naturally when organisms respire or decompose (decay), carbonate rocks are weathered, forest fires occur, and volcanoes erupt. Carbon dioxide is also added to the atmosphere through human activities, such as the burning of fossil fuels and forests and the production of cement.
Step-by-step explanation:
Answer:
Step-by-step explanation: The first one on the left
What value of x satisfies the equation below?
[tex]\frac{-2x - 6}{5} = 4[/tex]
Answers
Answer: -13
Step-by-step explanation:
1. Isolate x: move 5 to the otherside
=> -2x-6=4*5 => -2x-6=20
2. Move 6 to the otherside: -2x=20+6 => -2x=26
3. Divide both sides by -2
=> x=26/-2 => x=-13
Have a nice day! :D
solve the inequality
Answers
What are the coordinates of the image of AABC after a dilation with center (0,0) and a scale factor of 3?
Answers
Answer:
factor of 3
Step-by-step explanation:
Luis saved 5/8 of his pay. What percent of his pay did he save?
Answers
Have a great day! The steps are down below
Read the excerpt from "What to the Slave is the Fourth of July?”
The feeling of the nation must be quickened; the conscience of the nation must be roused; the propriety of the nation must be startled; the hypocrisy of the nation must be exposed; and its crimes against God and man must be proclaimed and denounced.
How does the repetition of the word “must” affect the tone of the piece?
The repetition shows that the speaker is concerned about something.
The repetition draws attention to the speaker’s anger.
The repetition suggests that the speaker is intimidating and demanding.
The repetition intensifies the speaker’s sense of urgency.
Answers
Answer:
The repetition intensifies the speaker's sense of urgency.
Step-by-step explanation:
Answer:
D The repetition intensifies the speaker’s sense of urgency.
Step-by-step explanation:
The repetition intensifies the speaker’s sense of urgency.
The sum of 3 and y is greater than 10
Answers
Answer:
3 + y > 10
Step-by-step explanation:
Is your expression.
Just use the keywords the sum of and greater than.
need help with this please
Answers
Answer:
-2/5
Step-by-step explanation:
Exactly the opposite of the sign, opposite of + is negative (-)
What is the length of a rectangle with an area of (4x^2-10x-6) and a width of (x-5)
Help lleaseee
Answers
Please will anyone help me out with this math problem? I will give them a crown.
Answers
Answer:
a. 450 b. 10078.9097
Step-by-step explanation:
a. go with the formula W=FD
F= force
W= work done
D= distance
b. go with the formula F=mgcos(x)
M= mass
G= gravity constant (9.8)
then get to the normal formula of W=FD after getting the Force
this might be easy who knows
Answers
Answer:
w= -12
Step-by-step explanation:
hope this helps :)
Find the slope of the line that passes through the pair of points (6,-2) and (5,-4).
Show all work necessary and write your final answer in the box.
Answers
Answer:
slope = -10/7Step-by-step explanation:
co-ordinates = (6,-2) (5,-4)
slope = (y² - y¹) / (x² - x¹)
slope = (-4 - 6) / (5 - (-2))
slope = (-10) / (5+2)
slope = (-10) / 7
slope = -10 / 7
Answer:
10/7
Step-by-step explanation:
I NEED HELP ASAP
the table shows how much jose earns at his part-time job. at the rate he is paid,how much would jose make if he worked 9 hours
Answers
I think the answer is Class B
Answer:
Its B
Step-by-step explanation:
see if you divided all the classes money by their students you take the biggest amount from each class and that is your answer
Solve please. Correctly
3(1 - 2a) = -3a - 18
Answers
Answer:
a = 7
Step-by-step explanation:
3(1 - 2a) = -3a - 18
3 - 6a = - 3a - 18
Add 18 to each side:
3 + 18 - 6a = - 3a - 18 + 18
21 - 6a = - 3a
Add 6a to each side:
21 - 6a + 6a = - 3a + 6a
21 = 3a
3a = 21
Divide each side by 3:
3a ÷ 3 = 21 ÷ 3
a = 7
HELP PLEASE ASAP PLS PLS PLS
Answers
Answer:
Step-by-step explanation:
What is the mass in kg of a
solid metal cuboid with
dimensions 4cm, 5cm and
3cm and a density of
20g/cm3
Answers
Answer:
work out the area which is 4x5x3 this being 60 then divide this by 20 to get 3
The answer is 3kg
Answer:
[tex]density = mass \div volume \\ 20 = x \div 4 \times 3 \times 5 \\ 20 = x \div 60 \\ 20 \times 60 = x \\ x = 1200 \\ 1200 \div 1000 = 1.2kg[/tex]
Combine like terms for the following expression:
-3x +14 - 11+ 11x
Answers
Step 2. 14-11 = 3
Answer: 8x + 3
Terme und Gleichungen in die Alltagssprache übersetzen
197
Was bedeutet dieser Term? Schreibe einen passenden Text dazu an.
a) 5•uDas Fünffache einer Zahl
b) z + 12
c) a : 2 - 4
d) i•9
2
e) 34 + 7•V
f) (p - 7)•3
Answers
Step-by-step explanation:
find the points of intersection of the parabola 4y squared + 8 y - 16 x equal to 12 in the line x equals to 3
Need this !!!! Badly
Answers
Answer:
78
Step-by-step explanation:
JUST ANSWER RIGHT NOTHING ELSE 25 POINTS!!! plEase thank you
Answers
Answer:The heck i aint on that im close though
Step-by-step explanation:
Mrs. People purchased Sandwiches at 2 for $6.00 and Donuts for $2.00 a package. She spent $19 for a total of 7 items. How many sandwiches and donuts did she buy?
Answers
Answer:
2. 1. 3. 3 6 . b. Classify the system, and tell how many solutions it has. 6. ... She spent the entire amount on songs, ... number of music videos Mariana bought. 7. A chemist needs to mix a 2% acid solution and a ... sandwich spread. ... Use the given matrices for Items 13–20. A ... person sold and the amount of money collected.
Step-by-step explanation:
I need help with a math question. Plz help will mark Brainliest. Here is the link to the math picture.Oh and Find the Value of X
Answers
Answer:
the correct answer is B. hope this helped
.
Sydney has a points card for a movie theater,
She receives 35 rewards points just for signing up.
She earns 5.5 points for each visit to the movie theater,
She needs at least 90 points for a free movie ticket.
Which inequality can be used to determine w, the minimum number of visits Sydney
needs to earn her first free movie ticket?
Answers
Answer:
35+5.5w>90
Step-by-step explanation:
35+5.5x>90
it would be this sign > but with a line under it..the amount of points she racks up can be greater or equal to 90
Miles read 4 books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than 10 books in a month.Let x represent how many books Miles read in the second half of March. Which inequality describes the problem?
Answers
Answer:
[tex]x>6[/tex]
Here, [tex]x[/tex] denotes number of books read by Miles in the second half of March
Step-by-step explanation:
Given: Miles read 4 books in the first half of March.
Also, Miles read more than 10 books in a month.
[tex]x[/tex] denotes number of books read by Miles in the second half of March.
To find: inequality that describes the problem.
Solution:
Total number of books read in month of March = Number of books read by Miles in the first half of March + Number of books read by Miles in the second half of March = [tex]4+x[/tex]
Also, Miles read more than 10 books in a month.
Therefore,
[tex]4+x>10\\x>10-4\\x>6[/tex]
please help with this! i will mark the best answer brainliest. (image included)
Answers
Answer:
6 units
Step-by-step explanation:
A'B'C' is equal to ABC
You must scuba dive to the entrance of your room at Jules' Undersea Lodge in Key Largo, Florida. The diver is 1 foot deeper than $\frac{2}{3}$ of the elevation of the entrance. What is the elevation of the entrance?
Answers
Answer:
the elevation of the entrance is -21
Step-by-step explanation:
The computation of the elevation of the entrance is shown below;
-15 = -1 + 2 ÷ 3e
e = -21
Hence, the elevation of the entrance is -21
We simply applied the above equation so that we can determine the elevation of the entrance