B. 3501 yds c. 1632 yds d. 3181 yds

Since we are given two angles of a triangle, we can find the third angle.

180 - 38 - 57 = 85

The angle of the triangle at the Voyager is 85 deg.

We also know the length of the side opposite the Voyager, so we have enough information to establish a ratio in the law of sines.

C. 1632 yd

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

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier