Question

Please answer this question now

Answer 1

Answer:

397.7 m²

Step-by-step Explanation:

Step 1: find m < W

W = 180 - (33+113) (sum of ∆)

W = 34°

Step 2: find side UV using the law of sines

$\frac{UV}{sin(W)} = \frac{VW}{sin(U)}$

$\frac{UV}{sin(34)} = \frac{29}{sin(33)}$

Multiply both sides by sin(34)

$\frac{UV}{sin(34)}*sin(34) = \frac{29}{sin(33)}*sin(34)$

$UV = \frac{29*sin(34)}{sin(33)}$

$UV = 29.8 m$ (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.