MATHEMATICS MIDDLE SCHOOL

You place a mirror on the ground 6 feet from the lamppost. You move back 3 feet and see the top of the lamppost in the mirror. If you are 5 feet tall, what is the height of the lamppost?

Answers

Answer 1
Answer:

Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.

  • Height of person, Hp = 5 feets

  • Distance of person form mirror, Dp = 3 feets

  • Distance of Lampost from mirror, Dm = 6 feets

  • HeightofLampost=Hl=?

Setting up a proportional relationship :

(Hp)/(Dp) = (Hl)/(Dm)

(5)/(3) = (Hl)/(6)

Cross multiply :

Hl × 3 = 6 × 5

3Hl = 30

Hl = (30 ÷ 3)

Hl = 10

Therefore, the height of the lamppost is 10 feets.

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Answer 2
Answer:

Answer: 10 feet

Step-by-step explanation:

Let h be the height of lamppost.

Since both the person and the lamppost are standing vertical to the ground,  making similar right triangles.

Because the two triangles are similar, the ratio of their sides is the same.

Therefore, we have

\frac{\text{height of lamppost}}{\text{distance of lampost from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\n\n\Rightarrow(h)/(6)=(5)/(3)\n\n\Rightarrow\ h=(6*5)/(3)\n\n\Rightarrow\ h=10

Hence, the height of the lamppost = 10 feet.

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Answers

1) Ratio - 4:1

thus, 4x + 1x = 20
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thus, x = 20/5 = 4

thus, x = 4
and, 4x = 16

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2.c

Do you have any info on adding and dividing fractions?

Answers

When you add fractions, you NEED to have the same denominator.

When you divide fractions, you do NOT need to have the same denominator.

(a)/(c) + (b)/(c) = \boxed{\bf{(a+b)/(c)}}

(a)/(b) / (c)/(d) = (a)/(b) * (d)/(c) = \boxed{\bf{(ad)/(bc)}}

a, b, c, and d are variables. You can replace them with any number.
adding and dividing fractions:

To add (and subtract) fractions, we need the same denominator. If both fractions that you are adding (or subtracting) do not have the same denominator, you will have to find the least common denominator of both of them.
If the fractions are:
(2)/(3) + (1)/(2)
3 × 1 = 3                              2 × 1 = 2
3 × 2 = 6                              2 × 2 = 4
                                            2 × 3 = 6
The least common denominator is 6
(2*2)/(3*2) + (1*3)/(2*3)
(4)/(6) + (3)/(6) = (7)/(6) or 1(1)/(6)

For diving fractions, you do not need common denominators
You can multiply the first fraction by the second fraction's reciprocal.

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Answers

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Answers

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14/15   Since 28 and 30 are divisible by 2, we need to simplify the answer.

The correct answer is 14/15.

Hope this helps!

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Answers

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Answers

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