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ELEN [110]
3 years ago
7

A little girl standing next to a telephone pole at 10 AM. The little girl is 4'6" tall and the telephone pole is 40 feet high. I

f the telephone pole cast 8 32 foot shadow, how long is a little girl shadow?
Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0

Answer:

The shadow of the pole is 1.2 feet long

Step-by-step explanation:

A little girl standing next to a telephone pole at 10 AM.

From the above question

Height of the girl = 4'6" tall = 4 feet and 6 inches tall

We convert to feet

= 12 inches = 1 foot

6 inches = x

Cross Multiply

12 × x = 6 × 1

x = 6/12 = 1/2 = 0.5 feet

Hence, the total height of the girl =

4 feet + 0.5 feet = 4.5 feet

The height of the telephone pole = 40 feet high.

The shadow of the telephone pole

= 8' 32 foot shadow

= 8 feet, 32 inches

We convert the inches to feet

12 inches = 1 foot

32 inches = x

Cross Multiply

12 × x = 32 × 1

x = 32/12 = 8/3 = 2.67 feet

Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet

how long is a little girl shadow?

This is calculated using proportion

Shadow/Height

Shadow of the girl = x

Hence:

Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole

x/4.5 feet = 10.67 feet/40 feet

Cross Multiply

40 × x= 4.5 × 10.67

x = 4.5 × 10.67/40

x = 1.200375 feet

Approximately = 1.2 feet

Hence, the shadow of the pole is 1.2 feet long

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Answer:

Option A - 32 cm³

Step-by-step explanation:

Volume of a pyramid is given by the formula :

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Substituting values given gives us :

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V = (16)(6)/3

V = 96/3

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Hope this helped and have a good day

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Find each measure m<1, m<2,m<3
Leno4ka [110]

Answer:

option 2.

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Step-by-step explanation:

with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles

x + 46 + 29 = 180

x = 180 - 46 -29

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m1 + 105 = 180

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y = 80

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as they are two crossed lines the angle is reflected from the opposite side

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m2 * 2 = 360 - 51 * 2

m2 = 258/2

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Answer:

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Step-by-step explanation:

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Multiplying both sides by 100 and dividing both sides by 76,

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If you are using a calculator, simply enter 190×100÷76, which will give you the answer.

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3 years ago
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