A7-foot tall stop sign creates a shadow that is 2 feet long. at the same time, a utility pole creates a shadow that is 11 feet long. how tall, in feet, is the utility pole?

The height of the pole is 38.5 m.

Step-by-step explanation:

Given information:

The height of stop sign is

Length of shadow of stop sign is .

The length of shadow of pole is .

Now, the shadow is measured at the same time for both the cases. So, the triangles formed by stop sign and its shadow, and pole and its shadow will be similar.

For similar triangles, the sides are always in same proportion.

Solve for the length of pole as,

Therefore, the height of the pole is 38.5 m.

Refer the diagram for more clarity.

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step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.