Hi there!
Okay, so I was a bit confused by your question, but I tried to make it a bit easier and work out.
There was two ways I did this because I didn't want to NOT answer your question!
What about this:
3.2/15 cannot be simplified lower than what it is. Decimal form is 0.2133333 (repeating). I answered this part because I didn't know what 3. was (I at first thought it was part of the numerator. But now that I look at it again it may have been a question number. But just in case, I answered it like this anyway.)
Next!
I solved 2/15, which also cannot be simplified down lower than what it is. It's decimal form is 0.133333 (another repeating decimal.)
And so as you can see I answered two problems for you. If these are incorrect, let me know!
Hope this helps!
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly
17.0045249336018 meters tall
Answer: 17.0045249336018Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to