You're helping plan the construction of a rope bridge across a bottomless trench.  You chose two points marked by stakes 2 meters to the left and right of the planned side of the bridge. You find an angle of 85 between stake A and the planned location of the bridge on the other side of the chasm. Using the same method, you find an angle of 85 between stake B and the planned end of the bridge. a. If the bridge is planned to be 1.5 meters wide, how far is the planned end of the bridge from the planned debugging of the bridge? b. If the bridge sags in the middle forming a circular arc subtended by an angle of 11°, find the area of the completed bridge.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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You're helping plan the construction of a rope bridge across a bottomless trench.  You chose two points marked by stakes 2 meters to the left and right of the planned side of the bridge. You find an angle of 85 between stake A and the planned location of the bridge on the other side of the chasm. Using the same method, you find an angle of 85 between stake B and the planned end of the bridge.

a. If the bridge is planned to be 1.5 meters wide, how far is the planned end of the bridge from the planned debugging of the bridge?

b. If the bridge sags in the middle forming a circular arc subtended by an angle of 11°, find the area of the completed bridge.

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