Answer:
[tex]67750.644 ft^2[/tex]
Step-by-step explanation:
Given : A park in a subdivision has a triangular shape two adjacent side of the park are 433 and 520 the angle between the sides is 37
To Find: the area of the park to the nearest square foot
Solution:
Refer the attached figure
Area of triangle = [tex]\frac{1}{2} \times a \times b \times sin c[/tex]
a = 433
b=520
Sin c = Sin 37° = 0.6018
Area of triangle = [tex]\frac{1}{2} \times 433 \times 520 \times 0.6018[/tex]
Area of triangle = [tex]67750.644[/tex]
Hence the area of the park is [tex]67750.644 ft^2[/tex]
