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podryga [215]
3 years ago
5

A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25

m long. How tall is the building ? Round your answer to the nearest meter.
Mathematics
1 answer:
zzz [600]3 years ago
6 0

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

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Answer:

<h2>PART A: x = 15 and y = -8</h2><h2>PART B: x = -5 and y = 3</h2>

Step-by-step explanation:

PART A:

The first equation is x + y = 7\\y = 7 - x  .............(a)

The second equation is 3x - 2y = 1\\2y = 3x - 1

Putting the value of y from (a) in the above equation, we get 2y = 3x - 1\\2(7 - x) = 3x - 1\\14 - 2x = 3x - 1\\x = 15

From (a) we get y = 7 - x = 7 - 15 = -8

PART B:

Here the system of equations are -x + 4y = 17........(a) and 3x - 5y = -30.........(b)

From (a) we get, x = 4y - 17

Putting the above value of x in (b) we get, 3x - 5y = -30\\3(4y - 17) - 5y = -30\\12y - 51 - 5y = -30\\7y = 21\\y = 3

Hence, x = 4y - 17 = 12 - 17 = -5

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A mountain climber starts in a cave, then climbs up the mountain. After 1 hour, he is 6 m under ground. After 4 hours, he is 6 m
Nookie1986 [14]

Answer:

In Point Slope Form: y+6=4(x-1)

Step-by-step explanation:

<u>First you have to find the points given which are:</u>

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<u>Label the points x1, y1, x2, and y2</u>

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<u>Plot the points in the equation of Point Slope Form:</u>

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frez [133]

Answer:y = -4

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