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

Answer:

84 meters.

Step-by-step 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.

Answer 2

Answer:

84 meters

Step-by-step explanation:

The proportional value, or ratio is as the following:

$\frac{3.1}{1.71} = \frac{x}{46.5}$

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

$1.71x=3.1*46.5\\1.71x = 144 \frac{3}{20}\\ x=84.3$

Rounded to the nearest meter, x is 84 meters.