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QveST [7]
3 years ago
10

What is the maximum height that a 24 foot ladder can safely reach if the base of the ladder should always be about 1 foot away f

rom the vertical support for every 4 feet of height?
Mathematics
2 answers:
jekas [21]3 years ago
8 0

Answer:

23.24 feet

Step-by-step explanation:

According to the question, we were asked to find the maximum height that a 24 foot ladder can safely reach if the base of the ladder should always be about 1 foot away from the vertical support for every 4 feet of height.

-------The ladder is 24 feet high

------- There should be a spacing of 1 foot from the vertical support for every 4 feet height of the ladder

Which means that if the ladder is a feet tall,a spacing of 1 foot from the vertical support should be maintained and if it's an 8 feet tall ladder,then a spacing of 2 feet and so on.

Since the ladder is 24 feet tall and for every 4 feet tall ladder, a spacing of 1 foot should be reached.

Therefore, for a ladder of 24 feet,the spacing will be

24/4 = 6 feet

If this ladder is leaned against a wall and the spacing of 6 feet against its vertical support is maintained we are going to have a shape of a right angled triangle formed by the ladder against the support.

And we are now to find out how long the ladder will make it against its vertical support.

---- We are going to use the Pythagorean theorem to calculate this problem.

The requirements are the hypotenuse,c, the base,b,of the triangle and the other side also known as the opposite,a.

C² = a² + b²

a² = c² - b²

a = √c² - b²

a = √ 24² - 6²

a = √540

a= 23.24 feet.

Therefore, the height that the ladder makes against its vertical support is 23.24 feet

Step2247 [10]3 years ago
3 0

Answer: The maximum height it can safely reach is 23 feet (approximately)

Step-by-step explanation: First of all the ladder is 24 feet long. Then it needs to rest on a vertical support and it is recommended that for every 4 feet the ladder goes up, there should be a 1 foot safety distance between the base of the ladder and the vertical support. In other words, if the whole length of the ladder were to be placed on the vertical support, the 24-foot height must have a safety distance of,

Base = height/4

Base = 24/4

Base = 6

What this implies is that, as long as the whole length of the ladder (24 ft) is placed on the support, the safe distance from the base of the support would be 6 feet. At this rate, the maximum height that the ladder can reach is simply the vertical support itself. This results in a right angled triangle with hypotenuse 24 ft, and one side measuring 6ft. The unknown side can be derived by use of the Pythagoras theorem which states that,

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse and AB and BC are the other two sides.

We can now substitute for the values as follows,

24^2 = 6^2 + BC^2

576 = 36 + BC^2

Subtract 36 from both sides of the equation

540 = BC^2

Add the square root sign to both sides of the equation

BC = 23.2379

By approximation, BC equals 23 feet.

That means the maximum height the ladder can SAFELY reach is 23 feet.

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soldi70 [24.7K]

Answer:

The second option

Step-by-step explanation:

On the right hand side you have all the multiples of 4, on the left hand side you have 5

The multiples of four are ...,-8,-4,0,4,8,....

so the simbol that means that 5 is not an element of the multiples of four is the second option.

4 0
3 years ago
a theater is designed with 15 seats in the first row, 19 in the second, 23 in the third, and so on. if this seating pattern cont
marusya05 [52]

Answer:

<u>131 seats</u> are in the 30th row.

Step-by-step explanation:

The theater is designed with the first row there are 15 seats, in second row 19 seats and in the third row there are 23 seats.

Now, to find the number of seats in the 30th row.

So, we get the common difference(d) from the arithmetic sequence first:

19-15=4.

Thus, d=4.

So, the first tem a(1) = 15.

The number of last row (n) = 30.

Now, to get the number of seat in the 30th row we put formula:

a(n) = a(1) + d(n-1)

a(30)=15+4(30-1)

a(30)=15+4\times 29

a(30)=15+116

a(30)=131

Therefore, 131 seats are in the 30th row.

4 0
3 years ago
What is 4.06 increased by 17?<br><br>please help me ​
Dafna1 [17]

Answer:

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Step-by-step explanation:

4.06 increased by 17

4.06 + 17

21.06

4 0
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HELP PLEASE FAST I WILL MARK BRAINLIEST RANDOM ANSWERS WILL BE REPORTED
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Answer:

(-2,-4)

Step-by-step explanation:

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Answer:

D is the right answer.

Step-by-step explanation:

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