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?

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) (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, .
.
.
Answer by Shin123(626) (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.
RELATED QUESTIONS
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 woman wants to measure the height of a nearby tower. She places a pole in the shadow... (answered by ikleyn)
please help me solve these problem: A 15m vertical pole casts a 6m shadow . A tower... (answered by josgarithmetic)
a tower stands vertically on the ground at a point on ground 2m away from the foot of... (answered by josgarithmetic)
To determine a height of a flag pole, a student uses a metre stick and the measures... (answered by ikleyn)
vertical pole of length 6m a shadow of 4m long on the ground. At the same time a tower... (answered by josgarithmetic)
The feet of two vertical poles of height 3m and 7m are in line with a point on the... (answered by solver91311)
A telephone pole is to have a guide wire attached to its top and anchored to the ground... (answered by josgarithmetic,mananth)
the height of a tower is 3 times the height of a certain building. if the tower is 50m... (answered by checkley77)