Answer:
3) 27.2 ft²
4) 115.5 in²
Explanation:
the area of the triangle given two sides of the triangle and an angle between the two sides is caclulated as,
A = 1/2 * b * c * sin ∅
where b and c are the given two sides and ∅ is the given angle between them.
thus substituting the values,
3)
area = 1/2 * 15 * 8 *sin27°
= 60 * sin27°
= 60 * .454 = 27.24
by rounding the answer to the nearest tenth,
area = 27.2 ft²
4)
Area = 1/2 * 16 * 14.5 * sin85°
= 116 * sin85° = 116 * .996 = 115.536
by rounding off to the nearest tenth,
area = 115.5 in²