a 60 foot cable is stretched from the top of a pole to an anchor it is anchored on the ground 19 feet away from the base of the pole how tall is the pole

Answers

Answer 1

Answer:

Answer:

56.95 feet

Step-by-step explanation:

To find the height of the pole, you can use the Pythagorean Theorem because the cable, the height of the pole, and the distance from the base of the pole to the anchor form a right triangle.

The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

In this case, the height of the pole is the side we want to find (let's call it "h"), the distance from the base of the pole to the anchor is 19 feet (let's call it "d"), and the cable's length is 60 feet (the hypotenuse).

So, the equation is:

h^2 + d^2 = hypotenuse^2

h^2 + 19^2 = 60^2

Now, we can solve for "h":

h^2 + 361 = 3600

Subtract 361 from both sides:

h^2 = 3600 - 361

h^2 = 3239

Now, take the square root of both sides to find "h":

h = √3239

h ≈ 56.95 feet

So, the height of the pole is approximately 56.95 feet.

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Answers

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a total of 234 tickets were sold for the school play. they were either adult tickets or student tickets. the number of students tickets sold was two times the number of adult tickets sold. how many adult tickets were sold.

Answers

Answer:

78 adult tickets were sold

2x + x = 234

3x = 234

x = 78

after a 30% reduction, you purchase a dictionary for $30.80 what was the dictionary price before the reduction

Answers

The dictionary price before the reduction is $44

How to determine the dictionary price before the reduction

From the question, we have the following parameters that can be used in our computation:

Reduction = 30%

Price after = $30.80

Using the above as a guide, we have the following:

Price after = Price before * (1 - Reduction)

substitute the known values in the above equation, so, we have the following representation

Price before * (1 - 30%) = 30.80

Evaluate

Price before = 44

Hence, the dictionary price before the reduction is $44

Answers

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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