A college clock tower (perpendicular to the ground) casts a shadow that is 120 meters long. What is the distance from the top of the tower to the farthest tip of its shadow?
Let Tower height = x
Base (shadow length) = 120
Basically, we have to find the hypotenuse of the right angled triangle formed by the tower and its shadow. Since only shadow length is given, it is to be seen whether it has any form of relation with either tower height or hypotenuse.
(1) The height of the tower is 1/3 greater than the length of its shadow.
\(x = 120 + \frac{1}{3} * 120\)
Since, x can be found hypotenuse can be found.
SUFFICIENT.
(2) If the tower were to sink into the ground so that only half of its original length remained above ground, the tower would cast a shadow 60 meters long.
Let half of tower height = y
new shadow length = 60
No relations among them is available. The statement simply sales down the original and gives nothing new to help find the answer. Hence
INSUFFICIENT.
Answer A.
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