The angles of elevation of a balloon from two points A and C on level ground are 24.5 and 41.3, respectively . Points A and C ar
e 3.5 miles apart and the balloon is between the points. Approximate the height of the balloon above the ground.
1 answer:
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
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