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rewona [7]
2 years ago
14

Maria wants to know the distance between the building and the tree. there is a pond near the building so maria cannot measure th

e distance directly. maria stands in front of the building with the tree in front of her such that, in her eyes, the top of the tree overlaps the top of the building. the building is 60 ft tall and the tree is 18 ft tall. the distance between the maria and the tree is 20 ft. how far is it from the tree to the building?
Mathematics
1 answer:
Rudik [331]2 years ago
6 0

Answer: 140/3 ft

Step-by-step explanation:

The triangles are similar, so we can set up a proportion.

\frac{x+20}{60}=\frac{20}{18}\\\\x+20 =60 \left(\frac{20}{18} \right)=\frac{200}{3} \\ \\ x=\frac{200}{3}-20=\boxed{\frac{140}{3} \text{ ft}}

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SSSSS [86.1K]

Answer:

Yes, it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you $0.89.


Step-by-step explanation:

1.) Neighborhood store

It is 2.4 miles away

The car averages about 25 miles per gallon, then you would need:

2.4 miles / (25 miles/gallon) = 0.096 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.096 gallons * ($3.89/gallon) = $0.37344 = $0.37

The chicken is sold for $3.49 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.49/pound) = $20.94

In total you would need:

$0.37 (gas) + $20.94 (chiken) = $21.31 if you buy the chicken in the neiborhood store

2.) Store acroos town

It is 8.2 miles away

The car averages about 25 miles per gallon, then you would need:

8.2 miles / (25 miles/gallon) = 0.328 gallons of gas < 13 gallons (Ok)

The gas is about $3.89/gallon, then the gas would cost:

0.328 gallons * ($3.89/gallon) = $1.27592 = $1.28

The chicken is sold for $3.19 a pound, and you need 6 pounds, then you would pay:

6 pounds * ($3.19/pound) = $19.14

In total you would need:

$1.28 (gas) + $19.14 (chiken) = $20.42 if you buy the chicken in the store across town


$20.42 < $21.31, then it is worth the extra drive, going to the further store is cheaper.

The cheaper option saves you: $21.31-$20.42=$0.89


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