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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.

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 8 class=

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Solution:

The information can be represented diagrammatically as;

The area A of the triangular bears' habitat is;

[tex]A=\frac{1}{2}ab\sin c[/tex]

Thus, we have;

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

FINAL ANSWER:

[tex]Area=1138.19ft^2[/tex]

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