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aliya0001 [1]
3 years ago
8

The sun casts a shadow from a flag pole. The height of the flag pole is three time the lenght of its shadow. The distance betwee

n the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole

Mathematics
2 answers:
Alex73 [517]3 years ago
6 0

Answer:

The height of the flag pole will be = 18.96 ft.

Step-by-step explanation:

See the attached diagram.

AB is the flag pole and the length of the shadow is AC.

Now, Δ ABC is a right triangle and has AB = 3x ft., BC = 20 ft. and AC = x ft.

So, applying Pythagoras theorem ,

AB² + AC² = BC²

⇒ (3x)² + x² = 20²

⇒ 10x² = 400

⇒ x² = 40

⇒ x = 6.32 ft. (Approx.)

So, the height of the flag pole will be = 3x = 3 × 6.32 = 18.96 ft. (Answer)

kvv77 [185]3 years ago
3 0

Answer:

The height of the flag pole = 6\sqrt{10} feet

Step-by-step explanation:

Let us consider, the length of the shadow = x

According to the question,

The length of the flag pole = 3 times length of the shadow.

                                             = 3x

From the figure, By "Pythagoras theorem",

       x^{2} + (3x)^{2} = 20^{2}\\

          x^{2} + 9x^{2} = 400

                 10x^{2} = 400\\    x^{2} = 40\\         x  = \sqrt{40} \\         x  = 2\sqrt{10}

So, The length of flag pole = 3\times x

                                             = 3\times2\sqrt{10} = 6\sqrt{10} feet

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Answer: 25 guests is 2.5 times more than 10

Multiply each order by 2.5

Chicken = 16 x 2.5 = 40

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3 years ago
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wolverine [178]

Option C: \frac{x^{2}-9}{x^{2}-4} is the product of the rational expression.

Explanation:

The given rational expression is \frac{x+3}{x+2} \cdot \frac{x-3}{x-2}

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

\frac{(x+3)(x-3)}{(x+2)(x-2)}

Let us use the identity (a+b)(a-b)=a^2-b^2 in the above expression.

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\frac{x^{2} -3^2}{x^{2} -2^2}

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