A man who is 6 ft tall casts a shadow 14 ft long. Find the angle of elevation of the sun. 23.2° 64.6° 66.8° 25.4°

geometry: triangles

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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

idk idk idk idk idk

step-by-step explanation:

a ≈ 172.05

step-by-step explanation:

the pictures.