Question 935899
find the third angle:
180 - 68 - 53 = 59 degrees
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CT:
use law of sines:
a/sinA = c/sinC
a/sin(68) = 12753/sin(59)
a = sin(68)*12753/sin(59)
a = 13794.7115897 feet
a = 13794.7115897 feet * (1/5280 mile/feet)
a = 2.61263477078
CT = 2.6 miles
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TH:
use law of sines:
b/sinB = c/sinC
b/sin(53) = 12753/sin(59)
b = sin(53)*12753/sin(59)
b = 11882.1595869 feet
b = 11882.1595869 feet * (1/5280 mile/feet)
b = 2.25040901267
TH = 2.3 miles
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the police car at H will arrive first
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