To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. В 1.42 km 39.6° C А 2.61 km NOTE: The triangle is NOT drawn to scale. distance %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 20E
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To find the distance across a small lake, a surveyor has taken the measurements shown. Find the
distance across the lake using this information.
1.42 km
39.6°
C
A
2.61 km
NOTE: The triangle is NOT drawn to scale.
distance =
Transcribed Image Text:To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. 1.42 km 39.6° C A 2.61 km NOTE: The triangle is NOT drawn to scale. distance =
Solve triangle ABC if ZA = a = 48.8°, b = 8.5 cm, and c =
15.1 cm.
Using the Law of Cosines,
cm.
Your answer should accurate to 2 decimal places.
Using the Law of Cosines again,
CosZB
= Cos 3 2
Your answer should accurate to 5 decimal places.
Thus, B 2
Your answer should accurate to 2 decimal places.
cosZC
= COS y A
Your answer should accurate to 5 decimal places.
Thus, y 2
Your answer should accurate to 2 decimal places.
Check by seeing if the total of the three angles is 180°.
Transcribed Image Text:Solve triangle ABC if ZA = a = 48.8°, b = 8.5 cm, and c = 15.1 cm. Using the Law of Cosines, cm. Your answer should accurate to 2 decimal places. Using the Law of Cosines again, CosZB = Cos 3 2 Your answer should accurate to 5 decimal places. Thus, B 2 Your answer should accurate to 2 decimal places. cosZC = COS y A Your answer should accurate to 5 decimal places. Thus, y 2 Your answer should accurate to 2 decimal places. Check by seeing if the total of the three angles is 180°.
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