Question

a.) If D is a right angle and lines PN, FG, and BD are parallel to each other, prove

SPN  SFG  SBD .

b.) Use the diagram to solve this practical problem:

A person who is 1.5 m tall casts a shadow of 8 m. The distance along the ground from the person (N)

to the flagpole (G) is 32 m, and the distance from the flagpole (G) to the building (D) is 200 m. Find

the height of the flagpole (FG) and the height of the building (BD), showing all calculations.

Answer 1

@SnuggieLad @karatechopper

Answer 2

I'm not the best with proofs, sorry! Let me see if I can figure out the practical problem.

Answer 3

I just need help, anything helps
I've looked countless times in my notebook.

Answer 4

I'm wondering if you can set it up like a proportion

Answer 5

like pn/sn =fg/sg=bd/sd?

Answer 6

yeah something like that

Answer 7

that makes sense, but it doesn't really give me any numbers beside a 90 degree angle

Answer 8

I don't think you need an angle
hold on let me go get my notebook lol

Answer 9

ok

Answer 10

Its asking you to prove that all those triangles are similar right

Answer 11

yeah

Answer 12

alright well look then lemme draw here the values placed in

Answer 13

ohhhh okay, it just occured to me what I'm supposed to do.

Answer 14

So if we were to find the building height we would use the proportion
height/base=height/base
So lets use the whole triangle since we are looking for building height
Base length= 8+32+200=240
Height is unknown=?
And lets take the triangle we already know the base and height for -> first small triangle which has base of 8 and height of 1.5

And now for the proportion
\[\frac{ 1.5 }{ 8 }= \frac{ x }{ 240 }\]

Answer 15

Any questions?

Answer 16

As you were explaining this I think it clicked.

Answer 17

Sounds good! :)

Answer 18

Thank you!