Question

a park in a subdivision is triangular shaped. two adjacent sides of the park are 503 feet and 516 feet. the angle between the sides is 38 degrees. to the nearest unit, what is the area of the parking square units?

Answer 1

Answer:

79897 square feet

Step-by-step explanation:

Definition:

An included angle is the angle between two adjacent sides.

Two adjacent sides of the park are 503 feet and 516 feet.

The angle between the sides is 38 degrees.

Given the two adjacent sides(a and b) and an Included Angle of the triangular shaped park,

Area of the Park $=\frac{1}{2}absin \theta$

$=\frac{1}{2}*503*516*sin 38^0\\=79896.85 \\\approx 79897 \:square \:feet$

The area of the park is 79897 square feet (to the nearest unit)