A water sprinkler sprays water over a distance of 36 feet while rotating through an angle of 155º. What area of lawn receives water?

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

answer: -8.2562234e+13

step-by-step :

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