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Gennadij [26K]
4 years ago
13

A 3-foot-tall mailbox casts a shadow that is 1.8 feet long. At the same time, a nearby street lamp casts a shadow that is 12 fee

t long. How tall is the street lamp?
Mathematics
1 answer:
Natasha2012 [34]4 years ago
5 0

Answer:

20 feet tall

Step-by-step explanation:

If these are at the same angle, which i'm assuming they are, the following would happen:

Put length of 1 item over its shadows length equal to 2nd items length over its shadow. Put x in the place you want to find (Lamp in this case)

(3/1.8)=(x/12)

Cross multiply

36=1.8x

Divide by 1.8 on both sides

20=x

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Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

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First Leg:

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Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = \frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6} miles

Since both the distance are equal we can equate and solve:

\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3

Plugging this x = 3 into the total distance expression, we get:

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Total distance, 2 miles

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3 years ago
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