Answer:
height of the balloon = 1.0494 miles
Step-by-step explanation:
I drew a triangle and labeled angles A, B and C and sides a, b and c.
a = (c · sin A) / sin C = (3.5 · sin 24.5°) / sin 114.2° = 1.4514 / 0.9121 = 1.59 miles
now we have a 90° triangle
h = (a · sin B) / sin 90° = (1.59 · sin 41.3°) / sin 90° = 1.0494 / 1 = 1.0494 miles
