Question

A 7-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?

Answer 1

DIvide 11 by 2

11/2

5.5

Multiply that by 7

5.5x7

38.5 feet tall

Answer 2

Answer:

The height of the pole is 38.5 m.

Step-by-step explanation:

Given information:

The height of stop sign is $h=7\rm \; ft$

Length of shadow of stop sign is $l=2\rm \; ft$.

The length of shadow of pole is $L=11\rm \; ft$.

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,

$\dfrac{H}{h}=\dfrac{L}{l}\\\dfrac{H}{7}=\dfrac{11}{2}\\H=7\times 5.5\\H=38.5$

Therefore, the height of the pole is 38.5 m.

Refer the diagram for more clarity.

For more details, refer the link:

https://brainly.com/question/3254028?referrer=searchResults