SOLUTION: Daniel is 6 feet tall and cast shadow of 3.5 feet long. If his daughter is 4 feet tall, how long will her Shadow be? A.1.9 B.5.3 C.2.3333333 D.4.5

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Daniel is 6 feet tall and cast shadow of 3.5 feet long. If his daughter is 4 feet tall, how long will her Shadow be? A.1.9 B.5.3 C.2.3333333 D.4.5      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 981074: Daniel is 6 feet tall and cast shadow of 3.5 feet long. If his daughter is 4 feet tall, how long will her Shadow be?
A.1.9
B.5.3
C.2.3333333
D.4.5
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Daniel is 6 feet tall and cast shadow of 3.5 feet long. If his daughter is 4 feet tall, how long will her Shadow be?
--------
Use a proportion::
shadow/height = shadow/height
s/4 = 3.5/6
s = (2/3)3.5
s = 2.3333
---------------
Cheers,
Stan H.
---------------
A.1.9
B.5.3
C.2.3333333
D.4.5

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!

For the given conditions, the proportion is held

6%2F3.5 = 4%2Fx,

where  x  is the daughter's shadow length in feet.
(The proportion is based on similarity of right-angled triangles "the person - the person's shadow" for Daniel and for his daughter).

From the proportion

x = %283.5%2A4%29%2F6 = 2.3333333 ft.

Answer.  The daughter is  2.3333333 ft tall.