Question

Use the information in the diagram to determine the height of the tree to the nearest foot.
A. 68 ft
B. 80 ft
C. 116 ft
D. 147 ft

Answer 1

What formula would I use, how do I set up this equation? @ShailKumar

Answer 2

Which are the similar triangles ?

Answer 3

Would it be 120/100 = 176/x?

Answer 4

That would give me D. 146

Answer 5

147, rounded to the nearest foot I mean

Answer 6

Nope. That is wrong. First identify the similar triangles.

Answer 7

CD, DA are similar, and CB, DF are similar

Answer 8

I can only find one triangle.. ADF

Answer 9

These are sides! I am asking about similar triangles.

Answer 10

See, ABC and AFD look similar.

Answer 11

Right ?

Answer 12

Right

Answer 13

In triangle ABC, BC corresponds to what in AFD ?

Answer 14

FD

Answer 15

Good! In triangle ABC, AC corresponds to what in AFD ?

Answer 16

AD

Answer 17

So, you have \[\frac{BC}{FD} = \frac{AC}{AD}\]
Just absorb it

Answer 18

Do I place the lengths into the equation now?

Answer 19

Could you get the equation? How I wrote that !

Answer 20

It's 80

Answer 21

Correct! Nice job! :)

Answer 22

Thank you, lol. I went ahead of the steps

Answer 23

:D