MATH SOLVE

2 months ago

Q:
# 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 find the area of the park to the nearest square foot hint use theorem 10-8

Accepted Solution

A:

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 footSolution:Refer the attached figureArea of triangle = [tex]\frac{1}{2} \times a \times b \times sin c[/tex]a = 433b=520Sin c = Sin 37° = 0.6018Area 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]