SOLUTION: The pole and tower cost shadows 2m and 7m at a particularly instant.If the height of the pole 5m ,the height of the tower is?

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Question 1101008: The pole and tower cost shadows 2m and 7m at a particularly instant.If the height of the pole 5m ,the height of the tower is?
Found 2 solutions by KMST, Shin123:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming a horizontal ground, each object's and the object's shadow
can be visualized as the legs of a right triangle.
The hypotenuse would be along the ray of sunlight that grazes the top of the object,
and both hypotenuses make the same angle with the ground.
Having one pair of congruent acute acute angles,
makes both right triangles similar,
so their ratio of vertical leg to horizontal leg must be the same.
for the tower, height%2F%227+m%22=5m%2F%222+m%22 .
height=%287+m%29%285m%29%2F%222+m%22 .
height=highlight%2817.5m%29 .

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio for the shadow to height is 5:2 The same ratio is 10:4, 15:6 ,and 20:8. You have to get the height part of the ratio to be 7 That is between 6 and 8, which the shadow is 15 and 20. 7 is in between 6 and 8 so the answer must be in between 15 and 20.7 is right in the middle of 6 and 8 so the answer should be 17.5 meters.