A tree casts a shadow of 15ft. The angle of elevation from the tip of the shadow to the top of the tree is 70 degrees. To the nearest foot, what is the height of the tree?

Question

A tree casts a shadow of 15ft.  The angle of elevation from the tip of the shadow to the top of the tree is 70 degrees.  To the nearest foot, what is the height of the tree?

anonymous · Answer

@Directrix the answer I got for this was 41, I don't think that's right but I'm not sure!

directrix · Answer

My yellow ping notification or whatever does not work. It lights up here but I don't get a message that I have been called.

directrix · Answer

tan 70 = x/15 where x is the height of the tree

directrix · Answer

41.21 ish feet

anonymous · Answer

I got 2.74747741945462228

anonymous · Answer

After doing tan 70... Lol I'm confused now :/

directrix · Answer

This is what you wrote above: the answer I got for this was 41

directrix · Answer

For tangent, yes. I cranked out the height of the tree.

anonymous · Answer

So the answer I have now is right?

directrix · Answer

2.74747741945462228  = x/15

directrix · Answer

The answer I got for this was 41, you said.
That is what I got, too. The height of the tree.

anonymous · Answer

Ok! :D thank you!

directrix · Answer

Next problem. :)