SOLUTION: A 1 m high stake casts a shadow 6.5 m long. Find the height of a tree, in m, that casts a shadow 52 m long(at the same time and place)

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Question 1188242: A 1 m high stake casts a shadow 6.5 m long. Find the height of a tree, in m, that casts a shadow 52 m long(at the same time and place)
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use the proportion


    1%2F6.5 = x%2F52.


From the proportion,  find  x = 52%2F6.5 = 8 meters.    ANSWER

Solved.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the height of a tree be h
with horizontal surface, stake and tree with shades form two similar right triangles whose sides are proportional
so, h%2F1m=52m%2F6.5m
h%2F1m=52%2F6.5
h%2F1m=8
h=8%2A1m
h=8m
the height of a tree is 8m