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There are two trees in a park, an oak tree and a pine tree. [#permalink]
08 Sep 2004, 02:37

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0% (00:00) wrong based on 0 sessions

There are two trees in a park, an oak tree and a pine tree. The shadow from the Pine tree is 32 feet long and the shadow from the Oak tree is 40 feet long. How tall is the Oak tree?

(1) The Pine tree is 24 feet tall.
(2) The Oak tree is 20 feet from the Pine tree.

This probably isnt a difficult one for you guys out there. I am not able to visualize these kinds of problems. So would really appreciate an explanation along with the ans.

Re: DS - Oak & Pine Tree [#permalink]
08 Sep 2004, 06:19

stuti wrote:

I am not able to visualize these kinds of problems. So would really appreciate an explanation along with the ans. Thanks!

A fast diagram for you...
I've used the similar triangles funda, since the sun would emit similar light and hence generate similar shadow for both trees.

Try getting some 10th grade trig maths books from the school guys. It will help you refresh.

Quite frankly that question stinks, because it doesn't give enough information about the two trees. A makes complete sense but they don't tell you anything about the trees in relation to one another in the park and therefore I would have doubts regarding the ability to fairly compare the two. The fact B offers info about their position in relation to one another would make me wonder how important that fact is. I think on a test I would answer E and get it wrong.

Re: DS - Oak & Pine Tree [#permalink]
08 Sep 2004, 07:44

hardworker_indian wrote:

stuti wrote:

I am not able to visualize these kinds of problems. So would really appreciate an explanation along with the ans. Thanks!

A fast diagram for you... I've used the similar triangles funda, since the sun would emit similar light and hence generate similar shadow for both trees.

Try getting some 10th grade trig maths books from the school guys. It will help you refresh.

Re: DS - Oak & Pine Tree [#permalink]
08 Sep 2004, 09:29

hardworker_indian wrote:

stuti wrote:

I am not able to visualize these kinds of problems. So would really appreciate an explanation along with the ans. Thanks!

A fast diagram for you... I've used the similar triangles funda, since the sun would emit similar light and hence generate similar shadow for both trees.

Try getting some 10th grade trig maths books from the school guys. It will help you refresh.

A question - can we still use the similar triangles funda is the two shadows of two trees do not overlap like the graph you draw?

Re: DS - Oak & Pine Tree [#permalink]
08 Sep 2004, 09:43

jinino wrote:

hardworker_indian wrote:

stuti wrote:

I am not able to visualize these kinds of problems. So would really appreciate an explanation along with the ans. Thanks!

A fast diagram for you... I've used the similar triangles funda, since the sun would emit similar light and hence generate similar shadow for both trees.

Try getting some 10th grade trig maths books from the school guys. It will help you refresh.

A question - can we still use the similar triangles funda is the two shadows of two trees do not overlap like the graph you draw?

Yes, as long as you're far, far away from the sun (for which, earth qualifies), it doesn't matter where in the park the trees are because the angle cast by the light rays (i.e., the angle b/w the diagonal light ray and the base shadow) will not be affected.

If you were to measure the shadows at two different times of the day (i.e., sun's position changes), then the angles will not be the same, and you'll have to use a different approach.