2. You are sailing between three islands in an archipelago. You first sailed fro

Question

2. You are sailing between three islands in an archipelago. You first sailed from A to B at a heading of S71°W and measured the distance to be 145 miles. You then sailed from B to C at a heading of S69°E which you measured to be 96 miles. Now you want to head back to island A from C How far is it away from C? At what heading do you need to sail? 3. From a stationary hot-air balloon 650 feet above the ground, two sightings of a lake are made (see figure). How long is the lake? Round your answer to the nearest foot. 650 ft 65°

Explanation / Answer

3)

tan 25 = 650 /(x + 650/(tan 65))

(x + 650/(tan 65)) = 650 / tan 25

x = 650 * ( cot 25 - cot 65)

= 1090.8295

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