Answer: 15,000 ft^2
Step-by-step explanation:
The triangle is not a right angle triangle. Therefore, the formula that would be used to determine the area of the triangle is expressed as
Area = 1/2abSinC
Where
a and b are the length of the sides of the triangle and C is the corresponding angle of side c
The given length of the sides of the triangle formed by the three streets are 300 feet, 200 feet and 120 feet.
If the smallest angle formed by the streets is 30°, then it corresponds to to the side whose length is 120 feet.
Therefore,
a = 300
b = 200
Angle C = 30°
Area = 1/2 × 300 × 200 × Sin30
Area = 15000 ft²
