Question

The bear area at a zoo is designed in a triangular fashion, surrounded on all three sides by sidewalks. The property has 42 feet of frontage on one sidewalk, and 81 feetof frontage on another, these two sidewalks intersect at a 42° angle. What is the square footage of the bears' habitat? Round to the nearest hundredth.

Answer 1

The information can be represented diagrammatically as;

The area A of the triangular bears' habitat is;

`A=(1)/(2)ab\sin c`

Thus, we have;

`\begin{gathered} A=(1)/(2)(81)(42)\sin (42^o)^{} \\ A=1138.19ft^2 \end{gathered}`

FINAL ANSWER:

`Area=1138.19ft^2`