A pillar is fixed at one of the corners of a square meadow. The length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer is found 60°. Find the height of the pillar.
(A) 93.49 m (B) 83.48 m (C) 69.93 m (D) 73.48m​

Answers

Answer 1

Answer:

D. 73.48 m.

Step-by-step explanation:

The diagonal distance across the meadow

= √(30^2+30^2)

= √1800

tan 60 = h / length of the diagonal           (where h = height of the pillar).

h = √1800 * tan 60

= 73.48 m

Answer 2

The required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of 60 degrees is 73.48m

Angle of elevation and depression

The angle situated below the pillar is known as  the angle of elevation

Determine the diagonal distance

The diagonal distance across the meadow is calculated using the Pythagoras theorem:

l = √(30^2+30^2)
l = √1800

Determine the required height of the pillar using the SOH CAH TOA

tan 60 = h/l        

where h = height of the pillar

h = √1800 * tan 60

h  = 73.48 m

Hence the required height of the pillar if length of each edge of the meadow is 30m and the angle of elevation of the top of the pillar from the opposite comer of 60 degrees is 73.48m

Learn more on angle of elevation here: https://brainly.com/question/25748640


Related Questions

The function f(x) is shown in this graph.

The function g(x) = -2x - 5.

Compare the slopes and y-intercepts.

A. The slopes are different but the y-intercepts are the same.

B. Both the slopes and the y-intercepts are different.

C. The slopes are the same but the yintercepts are different.

D. Both the slopes and the y-intercepts are the same.​

Answers

The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.

How to compare the slope and the y-intercept?

The function g(x) is given as:

g(x) = -2x - 5

A linear equation is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept.

So, the slope of the function g(x) is -2 and the y-intercept is -5

For the function f(x), the slope is calculated using:

m =(y2 -y1)/(x2 - x1)

Using the points on the graph, we have:

m =(3 - 1)/(1 - 0)

Evaluate

m = 2

The line of the function f(x) cross the y-axis at (0,3);

So, its y-intercept is 3

Hence, both functions have different slopes and different y-intercepts

Read more about linear functions at:

https://brainly.com/question/14323743

права 1.5. Цукерки M&M мають різні
кольори, і різні кольори виступають в
і
різних пропорціях. Нижчезгадана tabeta
подає правдоподібність, що обраний М
долі&M має кожен колір, але бракує
цінності для брунатних цукерок.
Брунатний Червоний колір, Жовтий
Зелений Оранжевий ясно брунатний
Правдоподібність згаданих кольорів 0,3
0,2 0,2 0,1 0,1? (а) Яку цінність мусить
мати бракуюча правдоподібність (ясно
брунатний)? (b) Доля ти добираєш M&M з
пакету. Яка є правдоподібність кожного з
нижчезгаданих випадків? І. ти Одержуєш
брунатним або червоним. II. Ти не
одержиш жовтого. ІІІ. Ти не одержиш ані
оранжевого, ані брунатного. М. Ти
одержуєш такий, який брунатний,
червоний, зелений, оранжевий або
світло-коричневий.

Answers

Answer:

Якщо ти перекладаєш це, то ти неписьменний. якщо ти читаєш це, я пишаюся тобою. Його коричневий. Лол. Нані, УуУ, Оні-Чан.

Step-by-step explanation:

Which function is the inverse of the function f(x) = 4x2 + 10, if the domain of f(x) is x 2 0?

Answers

Step-by-step explanation:

inverse = √((x-10)/4)

that is the answer

Answer:

Step-by-step explanation:

Salma made $143 for 11 hours of work. How much for 8 hours of work?

Answers

Answer:

140 dollars salma made if she worked for 8 hrs long

Answer:

104

Step-by-step explanation:

143 = 11 hours

143/11 = 1 hour

13= 1 hour

13 × 8 = 104

104

please mark me as brainliest.

Naomi is still not sure how many boxes of each type of candy to order. Her dad explains that he needs to do a little more mathematics before she can determine the best candy order. He creates a table to help her determine the solution.

He asks her to calculate how much money the band would make if she ordered 500 boxes of
each type of candy. He also asks her to calculate the profit on an order of 300 boxes of milk
chocolate and 500 boxes of dark chocolate. Determine both answers and show your work.

Answers

Answer:

how much does each box cost?

Step-by-step explanation:

What is the least five-digit even number with no repeated digits?

Answers

Your answer is 10234

choose the equation of the graphed function

Answers

The answer is C y=|x|+7

NO LINKS!!

What's the Perimeter?

a. 2x+8
b. 2x+9
c. 3x+8
d. 3x+9​

Answers

Answer:

A. 2x + 8

Step-by-step explanation:

The perimeter is:

x + x sides3 + 1 + 4 = top and bottom

Total:

P = 2x + 8

Correct choice is A

Answer:

A is correct

Step-by-step explanation:

the measure of the first angle is 40 degrees less than the measure of the second? need explanation. HELP

Answers

I'm going to be there in a few minutes and then I'll be back to work tomorrow morning if you want to come over and take it easy tomorrow morning if you want to go to the store and get some of the stuff you can do for me and I'll get it done and I'll be there in a bit and then I'll get

Hey everyone I would greatly appreciate some help here :)
I’m doing a chapter quiz and I honestly am 99% sure this is right but since it’s a big quiz I thought it wouldn’t be bad to get a second opinion and if I’m wrong a step by step answer so I can do it properly next time ok so here is question

Jasmine opened a bank account and she deposited 84.50 dollars into her account every month for 20 months. She also used 50.50 every month to pay for dance lessons, after 20 months she used 1/49& the total money left in her account to go to camp. What is the total amount of money jasmine spent to go to the camp?

115
135
155 or
170
Now I picked 170 because I got 680 from all that and 1/4 of 680 is 170 atleast I’m 99% sure lol if I’m right just let me know but if I’m wrong please tell me how so I can do it properly next time :)

Answers

Answer:15

Step-by-step explanation:

Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50. What is the cost for a pound of parmesan? What is the cost for a pound of ricotta? NEED ANSWER QUICKLY.

Answers

Answer:

$16

Step-by-step explanation:

let x = cost of ricotta cheese

let x + 5 = cost of parmesan cheese

.5x + .25(x+5) = $9.5

solve this and we get x =11 (cost per pound for ricotta)

now we plug that value back into x + 5 to find the cause of the cost of parmesan cheese

11 +5 = 16y = 16

The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Olivia buys 0.5 pounds of ricotta cheese and 0.25 pounds of parmesan cheese. The parmesan cheese costs $5 more than the ricotta cheese. She pays a total of $9.50.

Let 'x' be the cost of ricotta cheese. Then the cost of parmesan cheese will be (x + 5). Then the equation is given as,

0.5x + 0.25 · (x + 5) = $9.5

Simplify the equation, then we have

0.5x + 0.25 · (x + 5) = $9.5

0.5x + 0.25x + 1.25 = $9.5

0.75x = 8.25

x = $11

Then the cost of parmesan cheese is given as,

x + 5 = $11 + 5

x + 5 = $16

The cost of ricotta cheese will be $11. And the cost of parmesan cheese will be $16.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

pls solve the photo?

Answers

Answer:

8. B

9. D

Step-by-step explanation:

I think this is right if I'm not mistaken ..

4% of 50
Percent of a quantity
M

Answers

Answer:

4% of 50 is 2

Step-by-step explanation:

Erin ran 5 km in 25 minutes. What is her speed in km per minute? (Answer as a decimal)​

Answers

Answer:

what what what what what what what what

Find polynomial function of degree 3. Such that f(2)=24 and x-1, x and x+2 are factors of the polynomial

Answers

Answer:

5

Step-by-step explanation:

A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 49c x 1 dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation

Answers

Answer:

5 miles

Step-by-step explanation:

divide the 9 by 45 to get 6 subtract the 1 to get 4

Eight more than the difference of −5s and −6s is equal to the sum of 3 and 7

Answers

3 + 7 = 10

10 - 8 = 2

-5s - -6s = 2

s = 2

Answer:

s=2

Step-by-step explanation:

-5s + 6s + 8 = 3 + 7

s + 8 = 10

s + 8 - 8 = 10 -8

s = 2

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?

Answers

Using the normal distribution relation, the probability that sample will exceed the weight limit is 0.004

Using the relation ::

Zscore =(X - μ) ÷ σ

The mean, μ = np = (162 × 19) = 3078

The standard deviation, σ = 28 × √19 = 122.049

The Zscore :

Zscore = (3401 - 3078) ÷ (122.049)

Zscore = 2.65

Hence,

P(Z > 2.65) = 1 - P(Z < 2.65)

Using a normal distribution table :

P(Z > 2.65) = 1 - 0.9959

P(Z > 2.65) = 0.004

Learn more : https://brainly.com/question/25204474

Help if so OMH thanks

Answers

Answer:

$2.80

Step-by-step explanation:

24.40-13.20=11.20

11.20/4=2.8

Essay buys 3 apples, 5 bananas, and 7 peaches from a market. What is the ration of bananas to total fruit in simplest form?​

Answers

Answer:

5:15 or 1:3

Step-by-step explanation:

Answer:

1 : 3

Step-by-step explanation:

Number of bananas = 5

Total fruits = 15 (3 + 5 + 7)

Ratio = 5 : 15

Simplified form = 1 : 3

how do you turn 4.90 into a fraction

Answers

Basically by writing it like 4.90/1 and multiplying the numerator and denominator by 10 for each digit after the decimal point 4.90/1=
4.90 *100
~~~~~~~~~ =490/100
1 * 100
In order to reduce the faction you find the greatest common factor for 490 and 100 .
The factors of 490 are : 1,2,5,7,10,14,35,49,70,98,245,490
The factors of 100 are : 1,2,4,5,10,20,25,50, 100
And the common factor is 10 to reduce the fraction you divide both the numerator and denominator by the gfc value
490 490/10
~~~~=~~~~~~~~ =49/10
100 100/10

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Giving brainliest for number 31

Answers

Answer:

b, d, c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

f(x)=x²-x

#CarryOnLearning

hopeithelps,,thanks

3
Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given plecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)",
0 < I<3
1001 + 5,024,
3 < I<6
-12 + 5 + 5,630, 6 What were the boutique's monthly sales when Jenny first began tracking the data?
ОА.
$5,616
B.
$4,000
Ос.
$5,324
OD
$4,400
Reset
Next

Answers

Answer:

B. $4,000.

Step-by-step explanation:

what 21.807-10.739=?​

Answers

Answer:

2.428 is the answer....

Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?

Answers

Answer:

Look down :)

Step-by-step explanation:

The two equations must equal 180 degrees. So what you could do it 4x + (2x + 12) = 180

then solve. If this isnt enough information just comment :)

If no I hope this helped

For the two lanes to be parallel, the value of x must be 28 degrees,

The given information states that the same-side interior angles are 4x degrees and (2x + 12) degrees.

For parallel lines, the sum of these angles must equal to 180 degrees.

As per the concept of linear sum,

4x + (2x +12) = 180

Adding the like terms, we get:

(4x + 2x) + 12 = 180

Simplifying, we get:

6x + 12 = 180

Subtract 12 to both sides, and we get:

6x = 180 - 12

Simplifying, we get:

6x = 168

x = 28

Therefore, the value of x is 28 degrees.

To learn more about the parallel lines;

brainly.com/question/16701300

#SPJ3

Which is the following is a possible solution for the inequality? x+7<10

Answers

Answer:

[tex]x + 7 < 10 \\ x < 10 - 7 \\ x < 3[/tex]

Which of the following functions has a maximum value of m, where m is a positive constant?
With explanation please.

Answers

The value of m in the fourth equation does not tend to zero, hence the function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]: Option D is correct.  

For any function to have a maximum, the differential of the function must be equal to zero.

If the functions in options A and B and C are differentiated and equated to zero, the values of m in each function will tend to zero as well.

For the function [tex]f(x)=-(m+x)^2[/tex]

[tex]f'(x) = -2(m+x)\times 1\\f'(x)=-2(m+x)\\0 = m+x\\m = -x[/tex]

Since the value of m in the fourth equation does not tend to zero, hence the  function that has a maximum value of m, where m is a positive constant is[tex]f(x)=-(m+x)^2[/tex]  

Learn more here: https://brainly.com/question/12185438

. A store is going to mark down all of their items by 33%. The cost of a computer you really want is $750. How much will the computer get marked down?

Answers

Answer:

$247.50

Step-by-step explanation:

33/100x750=247.50

Since 33% in a fraction is 33/100, use that x 750 and you will get how much the computer gets marked down.

Hope this helps! Thanks.

HELP!?!?!?! I can't figure this out

Answers

Answer:

So, I believe n/2 may be even and 3n+1 is odd. They succumb to 3n if that helps.

Step-by-step explanation:

I'm not certain on what to do but I hope this helps some what.

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