Two cables, with lengths of 40 feet and 35 feet, are tied from the top of a pole to stakes in
the ground. If the stakes are 30 feet apart, find the height of the pole.

Answers

Answer 1

Answer:

The height of the pole is 33.89 feet.

Step-by-step explanation:

Since the length of the cables are 35 feet and 40 feet respectively, the 40 feet cable being farthest from the pole. We know that they are 30 feet apart. This forms a scalene triangle in which the angle between the 40 feet cable and the distance apart of the cables ( or ground) is the angle of elevation of the pole from the 40 feet cable.

So, we use the cosine rule to find this angle of elevation. So,

b² = a² + c² - 2accosB where a = 40 feet , b = 35 feet, c = 30 feet and B = angle of elevation of top of pole from 40 feet cable.

cosB = (a² + c² - b²)/2ac

cosB = (40² + 30² - 35²)/(2 × 40 × 30)

cosB = (1600 + 900 - 1225)/2400

cosB = 1275/2400

cosB = 0.53125

B = cos⁻¹(0.53125)

B = 57.9°

Since we now have the angle of elevation of the top of the pole from the 40 feet cable, we now find the height h of the pole from

sinB = h/40 since the 40 feet cable, the ground and the pole form a right-angled triangle.

h = 40sinB

h = 40sin57.9°

h = 40 × 0.8472

h = 33.89 feet

So, the height of the pole is 33.89 feet.


Related Questions

5 = 4a -7 please help me

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

CLT

5+7= 4a

12=4a

Divide through by 4

12÷4= 3

Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply.

AD bisects ∠BAC.
AD bisects BC.
AD forms right angles with BC.
AD is perpendicular to BC.
AD is the perpendicular bisector of BC.

Answers

Answer: AD bisects BC

AD forms right angles with BC

AD is the perpendicular bisector of BC

Step-by-step explanation:

what is x+4y=8 show all work

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

Let's put this equation in slope-intercept form:

y = mx + b

Equation:

x + 4y = 8

-x          -x

4y = -x + 8

/4     /4   /4

y = -1/4x + 2

Answer:

x = 4 Y=1

Step-by-step explanati

8-4y=x

8-4=4

X=4

Michelle wants to borrow $4,500. Bank A will lend Michelle the money at a simple annual interest rate of 9% for 6 years. Bank B will lend her the money at 11% for 4 years. Which bank would charge Michelle the least amount of interest? Explain.

Answers

Answer:

Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.

Step-by-step explanation:

this is the simple reponse

Please help me solve step by step

solve V = lwh for w

1.

2.

3.

4.

Answers

W=IH/V that is the final answer

If 500x =500 then x equals?

Answers

It’s equals x=1 hope that helps

Answer:

x=1

Step-by-step explanation:

Solve for x in the following triangle.​

Answers

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle, thus

8 + 6x = 30 + 4x + 2 = 4x + 32 ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Solve: -3 - (-5) + (-2)

Answers

Answer:

answers 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-3+5=2

2-2=0

-4\5 + 4\5 what is it

Answers

Answer:

0

Step-by-step explanation:

This is called a absolute zero If I remember correctly

Answer:

0 -4/5+4/5=0

Step-by-step explanation:

-4/5 and 4/5 are the opposite so they cancel each other out

3 pounds of peanuts for $7.50. How much is the cost per pound


plz put in comments i dont have brainly plus :/

Answers

Answer:

you take 7.50 and divide it by 3 which equals $2.50

Solve for x: 7x + 15 = 38

twenty-three sevenths
fifty-three sevenths
23
53

Answers

x= 23/7 so twenty-three sevenths

Which one and don’t lie!!!!!!!!!!!!

Answers

Answer:

Im pretty sure the one with the negative slope, so A.(edited im wrong)

Step-by-step explanation:

Since its descending, its impossible for it to start at zero, making it non proportional

hopefully i helped

Answer:

The answer is the graph will not pass through (0,0)

Step-by-step explanation:

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought? A.3h−2≤14 B.3h+2≤14 C.3h−2≥14 D.3h+2≥14

Answers

Answer:

D. 3h + 2 ≥ 14

Step-by-step explanation:

Cost of Bottle water = $2

Cost of Hot dogs = $3

Number of hot dogs bought = h

Total cost of hot dogs = price × quantity

= 3 * h

= 3h

Jeff did not spend more than $14

Total cost of bottle water and hot dogs

3h + 2 ≥14

The correct answer is D

D. 3h + 2 ≥ 14

Which of the following values would complete the ordered pair if the point is on the graph of ƒ(x) = -2x + 3?



(-1, ___)

a. 1
b. 0
c. -4
d. 5

Answers

5

You can either look on graph or solve it

f(x)=-2(-1)+3
-2•-1=2
f(x)=2+3
f(x)=5
5
I hope this helps you out:)))

what % is 60 of 45%?????????????????

Answers

Answer: 75%

Explanation:

a = p% of b
45 = p% of 60

so you basically divide 60 by 45.

45 / 60 = .75

.75 is equivalent to 75%

The answer is 75%

halp plz am really dumb my brain doesnt work today

Answers

Answer:

4

Step-by-step explanation:

Answer:

0.4

hope this is usefull to you

On a coordinate plane, a triangle is shown. It has points A prime (4, 2), B prime (8, negative 8), and C prime (4, negative 8).
What is the pre-image of vertex A' if the rule that created the image is ry-axis(x, y) → (–x, y)?

A(–4, 2)
A(–2, –4)
A(2, 4)
A(4, –2)

Answers

Answer:

The answer for this question would be A(-4,2) because the preimage of 4,2 would be A(-4,2).

Answer:

The answer would be option a) A(–4, 2)!

Step-by-step explanation:

Just got it right on Edge. - hope this helps :D

Explain how to multiply two numbers with different signs.

Answers

Answer:When you multiply 2 Integers with the same signs,the result is always positive.Just multiply the absolute values and make the answer positive.When you multiply 2 integers with different integers the result is always negative. Just multiply the absolute values and make the answer negative.

What is m m +
4 = −12

Answers

Answer:

- 16

Step-by-step explanation:

Step 1:

m + 4 = - 12      Equation

Step 2:

m = - 12 - 4      Subtract 4 on both sides

Answer:

m = - 16

Hope This Helps :)

6x - 2 3x + 7 18. Identify the segment bisector of RS. Then find RS. (Section 1.3) M R S​

Answers

Answer:

m is 7

Step-by-step explanation:

The length of RS is 32.

Given,

M is the bisector of RS

RM = 6x - 2

MS = 3x + 7

We need to find RS.

What does it mean to be a bisector point in a line?

A bisector point in a line divides the line into two equal halves.

Example:

A_____B_____C

B = midpoint

AB = BC

AC = AB + BC

We have,

R_____M______S

RS = RM + MS

M = bisector

RM = MS

RM = 6x - 2

MS = 3x + 7

6x - 2 = 3x + 7

6x - 3x = 7 + 2

3x = 9

x = 9/3

x = 3

Now,

RS = RM + MS

RS = 6x - 2 + 3x + 7

RS = 9x + 5

RS = 9 x 3 + 5

RS = 27 + 5

RS = 32

Thus the length of RS is 32.

Learn more about finding the length of a line with a midpoint in a line here:

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What’s 1 divided by 3

Answers

Answer:

0.3 (3 repeating)

Step-by-step explanation:

Hope this helps!!

Answer:

0.33333333333333333333333333333333

Step-by-step explanation:

this one's a little tough u think ya'll can help me

Answers

Answer:

I'd like to say half because it's being divided by 2

Step-by-step explanation:

I hope this helps

If the graph of a system of two equations results in the same EXACT line, then there is/are:
No Solution
One Solution
Infinite Solutions

PLEASE ANSWER QUCIKY

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

If its the same line then any point is a viable answer

The awnser is infinite solutions

NO ONE IS HELPING ME PLEASE IM FINNA CRY
The first term in an arithmetic sequence is 5. The third term in the sequence is -1. The tenth term in the sequence is -22.
Which of the following functions can be used to find the nth term of the arithmetic sequence?

A.
f(n) = -n

B.
f(n) = n + 4

C.
f(n) = -3n + 8

D.
f(n) = 0.5(n+5) + 2

Answers

The answer will be d luv❤️

Bethany is playing a game with her sister. Each player starts with 3 shuffled decks of cards turned upside down in 3 separate
piles so they don't know what order the cards are in. At each turn they draw 2 cards, 1 from the top of 2 piles of their
choosing
Bethany has the last play, and to win the game, she needs 2 face cards. She has paid attention to which cards have been
played from each pile, and she knows what cards are remaining in each pile. The cards remaining in each pile are shown
below.
Pile 1 = (10C, 5D, 9H, 9D, JD, 8D)
Pile 2 - (8D, QC, 45, 4D, AD, JS, 4H)
Pile 3 = {4C, KS, 6S, 10D, 4H}
Which 2 piles should Bethany draw from to have the best chance of winning the game?
Note: The last letter in the lists above gives the suit: Club, Diamond, Heart, or Spade. The first number or letter is the card
value. Jacks, Queens, and Kings are face cards.
Lo

Answers

Answer: its b

Step-by-step explanation:

The following two pile  should Bethany draw to have the best chance of winning the game are;

Pile 1 = (10C, 5D, 9H, 9D, JD, 8D)

Pile 2 - (8D, QC, 45, 4D, AD, JS, 4H)

What is the combination?

In mathematics, Combination is a term which tells us how many ways there are for the selection of a few things without considering their order.

Formula for selection of a objects from the n objects,

N = ⁿCₐ

Given that,

Bethany is playing a game with her sister,

Each player starts with 3 shuffled decks of cards turned upside down in 3 separate piles

At each turn they draw 2 cards, 1 from the top of 2 piles of their

choosing

Which 2 piles should Bethany draw from to have the best chance of winning the game = ?

Following combination of piles should be selected:-

Pile 1, has 2 face cards (Jack of Diamonds, Queen of Clubs) and pile 2 has 2 face cards (Jack of Spades, Ace of Diamonds), so by drawing from these two piles, Bethany has a total of 4 face cards to choose from.Pile 3 only has 1 face card (King of Spades), so drawing from this pile alone would give her a lower chance of winning the game.

To have the best chance of winning the game, Bethany should draw from piles 1 and 2.

To know more about Combination check:

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Here are two similar rectangles.
4 cm
4.8 cm
7 cm
Work out the area of the larger rectangle.

Answers

Answer:

[tex]40.32cm^{2}[/tex]

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8=40.32

A rectangle is a two-dimensional shape where the length and width are different.

The length and width of the larger rectangle are 4.8 cm and 8.4 cm.

The area of the larger rectangle is 40.32 cm².

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Two similar rectangles:

Smaller rectangles:

Length = 4 cm

Width = 7 cm

Larger rectangles:

Length = 4.8 cm

We need to find the width of the larger rectangle.

Since the two rectangles are similar.

4 cm = 4.8 cm

Multiply 7/4 on both sides.

7/4 x 4cm = 7/4 x 4.8 cm

7 cm = 8.4 cm

Now,

Larger rectangle:

Length = 4.8 cm

Width = 8.4 cm

Now,

The area of the larger rectangle:

Area = Length x width

Area = 4.8 x 8.4

Area = 40.32 cm²

Thus,

The area of the larger rectangle is 40.32 cm².

Learn more about rectangles here:

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A certain even integer is 32 less than twice the next even integer. Find the integer.

I know the answer is 28 but I do not know how to get to that answer. I could use help ASAP.

Answers

Answer:well you should have paid more attention in class

Step-by-step explanation:

Exercice 3
Une société propose sur le marché trois formats de cônes glacés : le grand, d'un volume de
720 mL, le moyen et le petit.
a) Le cône moyen est une réduction du grand dans le rapport 75 %. Calculer son volume.
b) Le petit cône est une réduction du grand cône dans le rapport 50 %.
Marie affirme : « Le volume du petit cône est deux fois plus petit que celui du moyen >>
Qu'en pensez-vous ?
Exercice 4
Le volume d'une boule lyonnaise est environ 378 cm! Son diamètre est le triple de celui du
<< but >>
Calculer une valeur approchée du volume du but.
Windows is not genuine
Click this message to learn how to get genuine
le
10:38 PM
10/28/2020
I

Answers

I can explain this to you for 720 ML, LE morning 75+50% is exercise for 34 six 859.368% because 92% equals 46 times because it

the perimeter of the triangle below is 38 units. Find the length of side WX. Write your answer without variables

Answers

Answer:

5.5

Step-by-step explanation:

Add each side of the triangle.

3z+z+1+4z-3 = 8z - 2

8z - 2 is equivalent to the  perimeter.

Since you know the perimeter is 38 units, you can set 8z-2 to 38.

8z-2 = 38

Solve for z. Subtract 2 from each side.

8z = 36

Divide each side by 8.

z = 4.5

Now solve for side WX.

WX = z + 1

WX = 4.5 + 1

WX = 5.5

The probability of rain for Monday is 40%. The probability of rain on
Friday is 20%.
What is the probability that it rains both days?

Answers

52 percent as 0.4 + 0.2 - 0.08 = 0.52

Answer:

52% is that an answer?

Step-by-step explanation:

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