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)

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
.

Use the proportion


     = .


From the proportion,  find  x =  = 8 meters.    ANSWER

Solved.



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

let the height of a tree be
with horizontal surface, stake and tree with shades form two similar right triangles whose sides are proportional
so,




the height of a tree is

RELATED QUESTIONS

A 1 m high stake casts a shadow 3.5 m long. Find the height of a tree, in m, that casts a (answered by timofer)
A 1m high stake casts a shadow 9m long. Find the height of a tree, in m, that casts a... (answered by josgarithmetic)
"A meter stick casts a shadow 0.4 m long and a tree casts shadow 7 m long. Find the... (answered by Cromlix)
a person 2 m tall casts a shadow 5 m long. at the same time,a building casts a shadow 24... (answered by algebrahouse.com)
Can someone help me with this problem? A tree casts a shadow that measures 5 m. At (answered by checkley71)
A tree casts a shadow that measures 5 m. At the same time, a meter stick casts a shadow (answered by funmath)
A verticle pole of lenght 6 m casts a shadow 4 m long on the ground and at the same time... (answered by checkley77)
A tree casts a shadow 21 m long. At the same time, the shadow cast by a 46-cm tall statue (answered by Earlsdon)
A tree casts a shadow 21 m long. At the same time, the shadow cast by a 46-cm tall statue (answered by checkley77)