The navigator of a ship at sea spots two lighthouses some distance apart along a straight seashore. She determines that the distance from the ship to one lighthouse is 3.4 miles and from the ship to the other lighthouse is 30.5 miles. if the navigator measures the angle between those two sightings to be 70.  a. How far apart are the lighthouses?  b. How far is the ship from the shore?

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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The navigator of a ship at sea spots two lighthouses some distance apart along a straight seashore. She determines that the distance from the ship to one lighthouse is 3.4 miles and from the ship to the other lighthouse is 30.5 miles. if the navigator measures the angle between those two sightings to be 70. 

a. How far apart are the lighthouses? 

b. How far is the ship from the shore? 

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