Question

Please answer this question now

Answer 1

397.7 m²

Explanation:

Step 1: find m < W

W = 180 - (33+113) (sum of ∆)

W = 34°

Step 2: find side UV using the law of sines

`(UV)/(sin(W)) = (VW)/(sin(U))`

`(UV)/(sin(34)) = (29)/(sin(33))`

Multiply both sides by sin(34)

`(UV)/(sin(34))*sin(34) = (29)/(sin(33))*sin(34)`

`UV = (29*sin(34))/(sin(33))`

`UV = 29.8 m` (approximated)

Step 3: find the area using the formula, ½*UV*VW*sin(V)

area = ½*29.8*29*sin(113)

Area = 397.7 m² (rounded to the nearest tenth.