Manoelprz01
contestada

A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 518 feet and 509 feet. The angle between the sides is 68 dedgrees. To the nearest unit, find the area of the park in square yards.

Respuesta :

calculista

Answer:

The area of the park is [tex]13,581\ yd^{2}[/tex]

Step-by-step explanation:

we know that

The SAS formula to find the area of triangle is equal to

[tex]Area=\frac{1}{2} (c)(b)sin(A)[/tex]

we have

[tex]c=518\ ft[/tex]

[tex]b=509\ ft[/tex]

[tex]A=68\°[/tex]

remember that

[tex]1\ yd=3\ ft[/tex]

Convert feet to yards

[tex]c=518\ ft=518/3\ yd[/tex]

[tex]b=509\ ft=509/3\ yd[/tex]

substitute in the formula

[tex]Area=\frac{1}{2} (518/3)(509/3)sin(68\°)=13,581\ yd^{2}[/tex]