What is the area of a triangular roof whose shorter lengths are 20 feet and 30 feet, when the angle between these lengths is 35º? round your answer to the nearest tenth of a square foot.

This is the formula to find the triangle area with sinus property
area = 1/2 × side × side × sin angle between the sides

Input the numbers
area = 1/2 × side × side × sin angle between the sides
area = 1/2 × 20 × 30 × sin 35°
area = 300 × sin 35°
area = 300 × 0.57358
area = 172.07
area = 172.1 ft²

The missing side would equal 36.06. Hope this helps toy in your math journeys.