An unmanned rescue submarine is scanning the ocean floor from a height of 150 feet above the floor. The field of view of the scan is 40 degrees. What is the diameter of the circle captured by the scan at any one moment?

How would I do this? Please help!

Question

An unmanned rescue submarine is scanning the ocean floor from a height of 150 feet above the floor. The field of view of the scan is 40 degrees. What is the diameter of the circle captured by the scan at any one moment?

How would I do this? Please help!

freeg13 · Answer

80 degrees is the diameter

anonymous · Answer

Wouldn't the diameter be in feet?

freeg13 · Answer

yes sorry I forgot to put ft in the middle for 80 ft degrees

amistre64 · Answer

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anonymous · Answer

@amistre64 what equation would I use to find r?

amistre64 · Answer

something triggy i believe,  what trig function do you know?

amistre64 · Answer

perferably the one that uses the legs of the right triangle as its ratio

anonymous · Answer

I am not sure which one that would be, cos sin or tan, this problem is a lot harder than any they've given us before.

amistre64 · Answer

well, we need one of those, define all all three for me, to the best of your recollection, ill correct if needed

anonymous · Answer

sin - o/s*h
cos - a/c*h
tan - o/t*a

anonymous · Answer

it would be tan?

amistre64 · Answer

tangent yes

so:  tan(a) = r/h  what is r?  and for that matter, what would a be as well?

amistre64 · Answer

your formulas are odd to me, 

soh
cah
toa

is a memory device, and it seems that youve got them kind of in order ...

toa would referet o:  tan = o/a

amistre64 · Answer

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