Question

A pole that is 3.1 m tall casts a shadow that is 1.71 m long. At the same time, a nearby tower casts a shadow that is 46.5 m long. How Tall is the tower?

roundyour answer to the nearest meter.
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Answer 1

84 meters

Explanation:

The proportional value, or ratio is as the following:

`(3.1)/(1.71) = (x)/(46.5)`

Now we can cross multiply in order to solve the equation...

`1.71x=3.1*46.5\\1.71x = 144 (3)/(20)\\ x=84.3`

Rounded to the nearest meter, x is 84 meters.

Answer 2

84 meters.

Explanation:

Set each tower equal to each other and you get (3.1/1.71)=(x/46.5)

Solve for X

X≈84.2982

But we want the nearest meter, so it's just 84 meters.