Amit built two snowball catapults. The catapults are 14.5\,\text{m}14.5m14, point, 5, start text, m, end text apart, as shown. From catapult A, there is a 96\degree96°96, degree angle between catapult B and the target. From catapult B, there is a 58\degree58°58, degree angle between catapult A and the target.
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Given : Amit built two snowball catapults.
The catapults are 14.5 m apart,
From catapult A, there is a 96° angle between catapult B and the target. From catapult B, there is a 58° angle between catapult A and the target.
To Find : Distance of A and B from target
Solution:
Let say Target is at C
AB = 14.5 m
∠A = 96°
∠B = 58°
=> ∠C = 180° -96° - 58° = 26°
AB/SinC = AC/SinB = BC/SinA
=> 14.5/Sin26° = AC/Sin58° = BC/Sin96°
AC = 28.1 cm
BC = 32.9 cm
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