Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank.) A = 51°, a = 11.9, b = 14.2 Case 1: B =   ° (smaller B-value)   ° (larger B-value) C= Case 2: B=   C=

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Solve the following

1-

Use the Law of Sines to solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank.)
A = 51°, a = 11.9, b = 14.2
Case 1:
B =
  ° (smaller B-value)

  ° (larger B-value)
C=
Case 2:
B=
  C=
°
  °

c =

2-Find the area of the triangle. Round your answer to one decimal place.

A = 124°,    b = 6,    c = 3
 
3-The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 38 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)
From Pine Knob:
 km
From Colt Station:
 km
4-Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.)
a = 6,    b = 13,    c = 18
 
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