Captain Barbossa wants to determine the height of his ship's flag above the ship's deck. His eye height is 6
feet and he is standing 30 feet from the base of the
flagpole on the ship's deck. He uses his clinometer to
measure an angle of elevation of 40° to the top of the
flag.
How high is the flag above the ship's deck (total height
of flag)?

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

3

step-by-step explanation:

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answer: it depends on what the tax percentage