A Weather Balloon Is Sighted from Points a and B $1,757$

Multiple Choice

A weather balloon is sighted from points A and B, which are 5.00 km apart on level ground. The angle of elevation of the balloon from point A is 28.0°. Its angle of elevation from point B is 46.0°.
a. Find the height (in m) of the balloon if it is between A and B.
b. Find the height (in m) if B is between point A and the weather balloon. Round your answers to the nearest meter.

A) a) $1,757$ m b) $5,472$ m
B) a) $5,472$ m b) $1,757$ m
C) a) $1,674$ m b) $5,472$ m
D) a) $1,674$ m b) $5,464$ m
E) a) $1,757$ m b) $5,464$ m