# Thread: Finding Height of Volcano. (Easy Question)

1. ## Finding Height of Volcano. (Easy Question)

I'm struggling on this one. I've tried cos22 = h/20,000.

Then from there I tried sin42= x/the answer I got above.

That didint work, so I'm completely lost

2. Originally Posted by WeakTrig

I'm struggling on this one. I've tried cos22 = h/20,000.

Then from there I tried sin42= x/the answer I got above.

That didint work, so I'm completely lost
let x = horizontal distance from the base of the volcano to its center.

$\displaystyle \tan(42) = \frac{h}{x}$

$\displaystyle h = x\tan(42)$

$\displaystyle \tan(22) = \frac{h}{20000+x}$

$\displaystyle \tan(22) = \frac{x\tan(42)}{20000+x}$

solve for x

3. where did you get 22,000 from?

4. Originally Posted by WeakTrig
where did you get 22,000 from?
typo ... should be 20000