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

Can you guys help me out

Answers

Answer:

what grade are you in that requieres this type of math

Step-by-step explanation:

Find values of x and y.
(x +12)/yº
114

Answers

9514 1404 393

Answer:

  x = 54

  y = 114

Step-by-step explanation:

The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...

  y = 114

__

The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:

  (x +12)° +114° = 180°

  x +126 = 180 . . . . . . . . divide by °, collect terms

  x = 54 . . . . . . . . . . . . subtract 126

: $800 invested at a 9% interest rate for 8 years.

Answers

Answer:

576$

Step-by-step explanation:

$800×9/100×8=576$

You would make $576. 800 at a 9% rate is $72 per year. 72x8 years is $576

4
-3+x=17
5
11= -9 - x
6
14- X = 4
7
x - 30 = -44
8
16 = 27+ x
9
-75 = x - 50
10
15+ x = -15
11
-9 + x = -34
12
-27=-5-x
13
6+ x = 20
14
-8=x+7
15
13=3- X
ton nations

Answers

4. -17/3

5. -20

6. 10

7. -14

8. -11

9. -25

10. -30

11. -25

12. 22

13. 14

14. -15

15. -10

in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation​

Answers

<B=<E

[tex]\\ \sf\longmapsto ∆AED=∆ABO[/tex]

[tex]\\ \sf\longmapsto \dfrac{AE}{AB}=\dfrac{AD}{AO}[/tex]

[tex]\\ \sf\longmapsto \dfrac{AD}{AE}=\dfrac{AB}{AO}[/tex]

Explanation:

Given that

In ∆ ABC, DE is a line drawn on AB and AC

In ∆ ADE and ∆ ABC

∠ AED = ∠ ABC = 70°

∠ AED = ∠ BAC (Common vertex angle )

By AA similarity criteria

∆ ADE and ∆ ABC are similar triangles

⇛ ∆ ADE ~ ∆ ABC

We Know that

If two polygons of same number of sides are said to be similar,

If the corresponding angles are equal.

If the corresponding sides are in the same ratio or in proportion.

So, The corresponding angles are mist be in proportion

⇛ AD / DB = AE/EC

Key Knowledge:-

If two polygons of same number of sides are said to be similar, If the corresponding angles are equal.If the corresponding sides are in the same ratio or in proportion.

Note :-

If DE || BC then by Basic Proportionality Theorem, AD / DB = AE/ECIf a line drawn parallel to one side of a triangle intersecting other two sides at two different points and the line divides the other sides in the same ratio.

Please help me with the question

Answers

Answer:

Rate of Change: 2

Step-by-step explanation:

Rate of change is the same as slope:

( y1 - y2 ) / ( x1 - x2 )

( 2 - 4 ) / ( 0 - 1 )

( -2 ) / ( -1 )

2

Hopefully this helps!

Brainliest please?

rise/run up two over 1; the slope is 2/1 or just 2

solve pls brainliest

Tell me where to put the dot

Answers

Answer:

You will put one mark in front of 5 and the other in front of 10. For question a the answer is 11 is to the right of 6. For question B the correct answer is that 11 is greater then 6 or >

Step-by-step explanation:

5x -4(x - 3) - 8 = Ax + B

Answers

Answer:

12= ax - x + b

Step-by-step explanation:

5x -4(x - 3) - 8 = ax + b

5x -4x + 12 - 8 = ax + b

x + 12 = ax + b

12= ax - x + b

Can you help please.?

Answers

Answer:

2.33yd or 2 1/3yd

Step-by-step explanation:

7/3=2.33

Richard wants to purchase a new Havaianas. The cost of the havaianas he wants to buy is Php299. Richard has saved Php42 for his new purchase. His parents are willing you give him three times what he has saved. On the weekends. Richard cut lawns for Php20 an hour. How many more hours will Richard have to work until he has enough money to purchase his Havaianas?

Answers

Using the required arithmetic operations, the number of mowing hours required to meet up with the cost of the Havannian ls 7 hours.

Cost of Havannian = Php 299

Amount saved = Php 42

The amount he'll be given by his parents = 3(42) = Php 126

Total amount = 42 + 126 = Php 168

Amount left to meet up cost of Havannian = (299 - 168) = Php 131

Lawn cutting rate per hour = Php 20

Number of cutting hours needed = (Php 131 ÷ Php 20) = 6.55 hours

Therefore, in other to meet up with the cost of the Havannian, hell have to mow for atleast 7 hours.

Learn more : https://brainly.com/question/18112348

The hours Richard would have to work more in order to purchase his Havaians is 7 hours.

The first step to take in order to determine the answer is to determine the total amount Richard has.

Amount saved = Php 42

Amount his parents would give him = php 42 x 3 = php 126

Total amount Richard has = 126 + 42 = Php 168

The total amount Richard has to get in order to purchase the item:

Php 299 - Php 168 = Php 131

The total hours Richard has to work in order to have enough money = Php 131 / 20 = 6.55 hours

This is approximately 7 hours.

A similar question was answered here: https://brainly.com/question/15580066?referrer=searchResults

How can you represent a rate with 100 as the whole?

Answers

Since, 100 is a positive integer and is a counting number. Hence, it is considered to be a whole number.

A photographer made a 5-inch by 8-inch print of a photo. He then made a 10-inch by 16-inch print of the same photo.

Which scale factor was used to create the larger photo from the smaller photo?

Answers

The photographer just doubled the size of the 5 x 8 in photo

what is the present value of $6,000 to be received at the end of 6 years if the discount is 12%

Answers

Future value = FV = $6000

Time period = n = 8

interest rate = r = 12%

Present value (PV) is calculated using the formula:

PV = FV/(1+r)n

Present Value = PV = 6000/(1+12%)8 = 6000/1.128 = 2423.299368

Answer -> 2,423

Answer:

$3,039.79

Step-by-step explanation:

Alani has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h, for each hour over 40 h. 1. How much will Alani earn if she works: a. 37 hours?

Please i need this now

Answers

Answer:

356

Step-by-step explanation:

She will earn a total of $296.

We have - Alani who has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h for each hour over 40 h. How much will Alani earn if she works: a. 37 hours.

We have to determine - How much will Alani earn if she works for 37 hours.

If you earn $x per hour and you work for 30 hours, them calculate the amount of money you will earn.

The amount of money you will earn will be = $30[tex]x[/tex].

According to question, we have -

Pay per hour = $8

Number of hours she work in a week = 40 hours

For working 37 hours, which is less than 40, she will receive an hourly wage of $8 only. Therefore -

$8 x 37 = $296

Hence, she will earn a total of $296.

To solve more questions on Cost estimation, visit the link below -

https://brainly.com/question/14123614

#SPJ2

Helpp the topic is about limits

Answers

Since we want to find the value of k where the limit exists, set both equations equal to each other. Then substitute x = -1 in for each equation to find k.

[tex]kx - 3 = {x}^{2} + k[/tex]

1. Set both equations equal.

[tex] - k - 3 = 1 + k[/tex]

2. Substitute x = -1.

[tex] - 3 = 1 + 2k[/tex]

3. Solve for k by adding k to both sides. Continue the process of solving the equation.

[tex] - 4 = 2k[/tex]

[tex]k = - 2[/tex]

Thus, k = -2. Check by graphing the function.

In a recipe, for every tablespoon of sugar there are four teaspoons of salt. If a batch uses twelve tablespoons of sugar, how many teaspoons of salt does it use?

Answers

4*12= 48
The answer is 48

Olivia typed 36-word paragraph in 2/3 minute. what is her typing speed, in words per minute?​

Answers

Answer:

Olivia typed speed per minutes is 54 words

Step-by-step explanation:

Given:

Olivia typed 36 word in 2/3

Solution:

By Unitary method, calculate the speed of typing by Olivia as-

2/3 Minutes → 36 Words

1 Minutes → 36 ÷(2/3) Words

1 Minutes → 36x3÷2 Words

1 Minutes → 54 Words

Therefore Olivia typed speed is 54 word.

ok this is stressin me out anyone know this

Answers

X=7.
9x-7y=63
9x-7 x 0=63
9x - 0=63
9x=63
X=7.

Y=-9
9 x 0 -7y=63

Here is a better picture​

Answers

Answer:all

Step-by-step explanation:so because u have done all

Can someone please help me with this question

Answers

Answer:

40 degrees

Step-by-step explanation:

i'm use......

Whatia the slops of the lime through (-2,16) and (2,2)

Answers

The answer would be B) 2.

Hi i need help with this !

Answers

Answer:

4y+8x

Step-by-step explanation:

well, because that was the only one that did not have a line on desmos.

Anyone know this? ..........

Answers

Answer:

Yes, Each value in the domain goes to only one value in the range.

Step-by-step explanation:

Since each x goes to a different y value, the relation is a function

Each value in the domain goes to only one value in the range.

Help! Pls...........

Answers

Answer:

I don't know sorry sorryy

There are 120 apples, 1/16 have sprinkles. How many have sprinkles?

Answers

Answer:

7.5

Step-by-step explanation:

because 7.5 x 16 = 120

How do I solve 0.0055 m a cm ?

Answers

Answer:

863.83

Step-by-step explanation:

es por qué es un número multimedios y los los número se asen pares

dl

A has a volume of 264 cm3
B has a volume of 891 cm3

A has a height of 8 cm

Work out the height of pot B.

Answers

Answer:

27 cm

Step-by-step explanation:

the radious of the pot:

[tex]v=\pi r^{2} h[/tex]

[tex]264=\pi r^{2} (8)[/tex]

[tex]r^{2} =\frac{264}{8\pi }[/tex]

The height of pot B

[tex]891=\pi (\frac{264}{8\pi })h[/tex]

[tex]891=(\frac{264}{8} )h[/tex]

[tex]h=\frac{(891)(8)}{264} =27[/tex]

I hope this help you

the sum of 3 fifteens and 4 twos​

Answers

Answer:

52

Step-by-step explanation:

15 x 3 = 45

2 x 4 = 8

45 + 8 =52

Answer:

The answer is 53

Step-by-step explanation:

Its 53 because 3 fifteens is equal to 45 and 4 two's is equal to 8 so you just have to add 45+8=53

Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference? A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units. Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. The distance is exactly the difference. The distance is the absolute value of the difference. The distance is not related to difference.

Answers

Answer:

The distance is the absolute value of the difference. aka c

Step-by-step explanation:

The increasing on the intervals
The decreasing on the intervals

Answers

do you need the technical term? or the normal term? there’s multiple answers for both
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