Question

A sign standing 4.8 feet tall is situated 19 feet away from a flagpole. At a certain time of day, the sign’s shadow is 6 feet long and the flagpole’s shadow is 25 feet long. How tall is the flagpole?
http://i.imgur.com/fUxCKuo.png

The student needs to know how tall the flagpole is, so he decides to use
his height and shadows cast by the sun, as shown in the picture. Both shadows end
where the green and yellow lines intersect. What is the height of the
flagpole?
http://i.imgur.com/xSCKe7G.png''.
I need explanations, and all work it took to get the the answer please and thank you.

Answer 1

@SithsAndGiggles @satellite73 @myininaya

Answer 2

How would you determine the hypotenuse of the smaller triangle where I show a ?

Answer 3

I have no clue :(

Answer 4

You do not know the Pythagorean Formula?

Answer 5

a2+b2=c2

Answer 6

So what would be the length (c) for the smaller triangle?

Answer 7

I don't know who to apply it

Answer 8

how

Answer 9

\[(4.88)^{2} +(6.00)^{2} = c ^{2}\]

Answer 10

I have to solve that?

Answer 11

That's the first step.

Answer 12

oh the next one is?

Answer 13

Take the square root of c squared to find the hypotenuse of the smaller triangle. (Where I have the ?)..Once you have that you can determine all the angles of the larger triangle and the length of the flag pole by using the Law of Sines.

Answer 14

I have no clue how to do that though

Answer 15

@satellite73 could you help me?