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jeyben [28]
2 years ago
7

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 f

eet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.

What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet

Mathematics
1 answer:
krok68 [10]2 years ago
4 0

✰ <u>Concept</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

⠀

In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.

⠀

✰ <u>Given</u><u> </u><u>Information</u><u> </u>:-

⠀

  • Hypotenuse = 22 ft.
  • Base = 10 ft.

⠀

✰ <u>To Find</u><u> </u><u>:</u><u>-</u>

⠀

  • The value of side or the perpendicular

⠀

✰ <u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

⠀

\star \:  \underline{ \boxed{ \purple { \sf  {Side}^{2}  =  {Hypotenuse}^{2}  -  {Base}^{2}  }}} \:  \star

⠀

✰ <u>Solution</u><u> </u><u>:</u><u>-</u>

⠀

\sf \longrightarrow  {Side}^{2} =   {(22 \: ft)}^{2}  -  {(10 \: ft)}^{2}  \:  \:  \:  \\  \\  \\ \sf \longrightarrow  {Side}^{2} =   {484 \: ft}^{2}  -  {100 \: ft}^{2}  \:  \:  \: \:  \:  \:   \\  \\  \\ \sf \longrightarrow  {Side}^{2} =   {384 \: ft}^{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\ \sf \longrightarrow  {Side}^{} =   \sqrt{ {384 \: ft}^{2} }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\ \sf \longrightarrow  {Side}^{} =   \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \:  \star \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\

Thus, option B. 19.60 ft. is the correct option.

⠀

\underline{\rule{230pt}{2pt}} \\  \\

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Example : 
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for the question. 19. Solve this equation: 80 = 3y + 2y + 4 + 1. A. y = 15 B. y = 75 C. y = –15 D. y = 1/5
Scorpion4ik [409]
80 = 3y+ 2y+4+1
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3 0
3 years ago
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CaHeK987 [17]

Answer:

Her daughter is <u>3 years</u> old now.

Step-by-step explanation:

Given:

Five years from now, the sum of the ages of a women and her daughter will be 40 years.

The difference in their present age is 24 years.

Now, to find how old is her daughter now.

Let the age of daughter be x\ years.

And the age of mother be y\ years.

According to question:

(x+5)+(y+5)=40

⇒ x+y+10=40

<em>Subtracting both sides by 10 we get:</em>

⇒ x+y=30

⇒ x=30-y............( 1 )

Now, as given in question:

The difference in their present ages is 24 years.

x-y=24

Putting the equation ( 1 ) in the place of x we get:

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⇒ 30-2y=24

<em>Moving variable on one side and the numbers on the other:</em>

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<em>Dividing both sides by 2 we get:</em>

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So, <em>the age of the mother is 27 years.</em>

Now, putting the value of  y in equation( 1 ) we get:

x=30-27

⇒ x=3

<em>The age of daughter is 3 years.</em>

Therefore, her daughter is 3 years old now.

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