Law of Sines and Cosines

Mathematics
Tutor: None Selected Time limit: 1 Day

A ship is anchored off a long straight shoreline that runs north to south. From two observation points 15 miles apart on shore, the bearings of the ship are North 29 degrees East and South 51 degrees East. What is the distance from the ship to each of the observation points?

May 28th, 2015

B = 180° − 29° − 51° = 100

a/sin A = c/sin C

a/sin(29°) = 15/sin(51°)

a = (15× sin(29°))/sin(51°)
a = 7.35/.78

a=9.42


May 28th, 2015

The answer choices are:

a. 13 miles and 7.4 miles

b. 12 miles and 6.4 miles

c.12 miles and 7.4 miles

d. 13 miles and 6.4 miles

May 28th, 2015

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