Question

An army of orcs has marched upon King Amit's stronghold, setting up camp a safe distance away (or so they think!). What the orcs don’t know is that the king and his engineers have spent the past decade developing advanced catapulting technology. King Amit has created a map to help him compute the distance from each of his two best catapults to the enemy orc camp (shown below). To what distance should King Amit calibrate catapult B to fire?

Answer 1

Answer: the answer is 328.96

Explanation:

Answer 2

The interior angles of any triangle add up to 180º in measure, which means the missing angle has measure

180º - 96º - 58º = 26º

By the law of sines, we have

(145 m)/sin(26º) = ?/sin(96º)

==> ? = sin(96º)/sin(26º) (145 m) = 328.96 m