Question

Help please multiple choice. But please show me step by step!

Answer 1

Proportions, the triangles are similar.

Answer 2

@amistre64

Answer 3

I know that. I just don't know the equation to solve it?

Answer 4

So the scale of the first ratio, x/y, is

6 / 5.5

The scale of the second ratio, x/y, is

shadow / 19.25

use the fact that these scales are equal to create a proportion

Answer 5

wait so whats the equation?

Answer 6

the ratios are equal dude you make an equals sign

Answer 7

6 / 5.5 = shadow / 19.25

Answer 8

get it

Answer 9

because they are equal

Answer 10

got it. I got 21?

Answer 11

idk

Answer 12

\[\frac{19.25}{x+6}=\frac{5.5}{6}\]

Answer 13

\[\frac{6}{5.5}=\frac{shadow}{19.25}\]
shadow = 6 * 19.25 / 5.5

Answer 14

I got 21

Answer 15

so that right ?

Answer 16

no? why not @Mertsj

Answer 17

@Mertsj I get your equation, I get that YOUR x is 15, but that is not the length of the shadow, that is the distance from the base of the tree to the person

Answer 18

35.5?

Answer 19

You are correct. Answer is 21

Answer 20

tree height is to man height
as
tree shadow is to man shadow

and as has been pointed out by the others

\[\frac{T_h}{T_{sh}}=\frac{M_h}{M_{sh}}\]
\[\frac{19.25}{T_{sh}}=\frac{5.5}{6}\]

Answer 21

^ thank you I got it now(: