A church C is on a hilltop at a height 300 feet from.....

Question

A church C is on a hilltop at a height 300 feet from the ground and is reached only through stairs of steps of width 1/3 foot. How many steps must be climbed to reach the entrance of church C from the bottom A of the stairs?

(1) The height of each step is 1/2 foot.
(2) Church C is located at a horizontal distance of 300 feet from the bottom of the stairs A.

Need insight on statement 2.

saminex · Answer

The horizontal distance mentioned in statement 2 gives the distance from the beginning of the stairs to the bottom of the church.

peacewarriors · Answer

Yes.that I get..
Bit how do we calculate the no of stairs from that info?

Posted from my mobile device

dbaremberg · Answer

Either my logic is wrong or there is a typo in this question, because I proceeded as follows:

(1) If you know that each step gets you 1/2 of a foot vertically closer to the church, and that the church is 300 vertical feet away, then you know that the number of steps is simply (300 feet / 1/2 foot per step) = 600

(2) If you know that each step gets you 1/3 of a foot horizontally closer to the church, and that the church is 300 horizontal feet away, then you know that the number of steps is simply (300 feet / 1/3 foot per step) = 900
* this is only congruent with (1) if the church is 200 horizontal feet away, so that you get 600 from either method...

Therefore either is sufficient --> D

dina98 · Answer

when you get two different values using the two statements independently, how will that be D?

dina98 · Answer

How can it be D?

1. Each step height is 0.5 ft so there will be 600 steps?
2. Each step width is 0.333ft and for 300 ft, we need 900 steps.

A church C is on a hilltop at a height 300 feet from.....

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