Mathematics : asked on VamPL
 11.04.2021

Avertical pole is supported by two ropes staked to the ground on opposite sides of the pole. one rope is 8 meters long, and the other is 7 meters. the distance between the stakes is 6 meters, and the height of the pole is meters.
a3.30
b3.78
c6.17
d6.78

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17.02.2022, solved by verified expert
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Establish two right triangles, both with the height of the pole, h.

Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.

Apply Pytagora's equation to both triangles.

1) h^2 = 7^2 - x^2

2) h^2 = 8^2 - (6-x)^2

Eaual 1 to 2

7^2 - x^2 = 8^2 - 6^2 +12x -x^2

12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21

x = 1.75

Substitue x-value in 1

h^2 = 49 - (1.75)^2 = 45.94

h = sqrt(45.94) = 6.78

option d.
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135 students found this answer . helpful
The correct answer is d. 6.78
Here's how to solve this problem in order to get the height of the pole.
Let x = the distance of the 7-m pole to the vertical pole.
Let 6-x = the distance of the 8-m pole to the vertical pole. 

X^2 + h^2 = 7^2 
(6-X)^2 + h^2 = 8^2

x^2 + h^2 = 49
(6-x) + h^2 = 64

x^2 - (6-x)^2 = 15
x^2 - (36 - 12x + x^2)  = 15
x^2 - 36 + 12x - x^2 = 15

x = 7/4

X^2 + h^2 = 7^2 
(7/4)^2 + h^2 = 49
h^2 = 49 - 3.0625
h = sqrt (45.9375)
h = 6.78
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Faq

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

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