A path goes around a forest so that it forms the three sides of a triangle. The ler of two sides are 550 m and 290 m. These two sides meet at an angle of A diagram is shown below.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Part B**

A path goes around a forest so that it forms the three sides of a triangle. The lengths of two sides are 550 m and 290 m. These two sides meet at an angle of 115°. A diagram is shown below.

*Diagram Description:*
The diagram depicts a triangle surrounding a forest area with two marked sides: one labeled as 550 m and the other as 290 m, with an included angle of 115°.

1. **Calculate the length of the third side of the triangle. Give your answer correct to the nearest 10 m.**

2. **Calculate the area enclosed by the path that goes around the forest.**

Inside the forest, a second path forms the three sides of another triangle named ABC. Angle BAC is 53°, AC is 180 m, and BC is 230 m.
Transcribed Image Text:**Part B** A path goes around a forest so that it forms the three sides of a triangle. The lengths of two sides are 550 m and 290 m. These two sides meet at an angle of 115°. A diagram is shown below. *Diagram Description:* The diagram depicts a triangle surrounding a forest area with two marked sides: one labeled as 550 m and the other as 290 m, with an included angle of 115°. 1. **Calculate the length of the third side of the triangle. Give your answer correct to the nearest 10 m.** 2. **Calculate the area enclosed by the path that goes around the forest.** Inside the forest, a second path forms the three sides of another triangle named ABC. Angle BAC is 53°, AC is 180 m, and BC is 230 m.
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