Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

a meter stick casts a shadow 1.4 m long at the same time a flagpole casts a shadow 7.7 m long. The triangle formed by the meterstick and its shadow is similar to the triangle formed by the flagpole and its shadow. How tall is the flaglole?

Sagot :

So a meter stick is just one meter right? Everything else is measured in meters as well. The meter stick's shadow, the flagpole's shadow, they are all in meters. I don't know if they've taught you how to solve for x or not but you are pretty much solving for x. The flagpole, (the measure that you are trying to find) is the x. 
So your problem kind of looks like this:
1/1.4=x/7.7 
Again, I don't know if this will help or not but if it does, than yippie! :)
lublana

Answer:

5.5 m

Step-by-step explanation:

Let x be the length of flagpole.

Length of stick=1 m

Length of shadow of stick=1.4 m

Length of shadow of flagpole=7.7 m

According to question

When triangles are similar then their ratio of corresponding sides are equal.

[tex]\frac{1}{1.4}=\frac{x}{7.7}[/tex]

[tex]x=\frac{7.7}{1.4}[/tex]

[tex]x=\frac{77}{14}[/tex]

[tex]x=\frac{11}{2}=5.5[/tex]

Hence, the length of flagpole=5.5 m

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.