Two men, 400 feet apart, observe a balloon between them; it is in the same vertical plane as they are. The respective angles of elevation of the balloon are observed by the men to be 75°20' and 49°30'. Find x rounded to the nearest whole number.

318 ft

339 ft

471 ft

504 ft

Question

Two men, 400 feet apart, observe a balloon between them; it is in the same vertical plane as they are. The respective angles of elevation of the balloon are observed by the men to be 75°20' and 49°30'. Find x rounded to the nearest whole number.





318 ft

339 ft

471 ft

504 ft

anonymous · Answer

https://clackamasweb.owschools.com/media/g_geo_ccss_2014/11/geo_10a_4_assess_media_2.gif

dtan5457 · Answer

Find x, side opposite angle of 75°20'

Use Law of Sines:
x/sin(75°20') = 400/sin(55°10')
x = 400 * sin(75°20') / sin(55°10')
x = 471.44
x = 471 ft

anonymous · Answer

thnx