A hot-air balloon is sighted at the same time by two friends who are 2 miles apart on the same side of the balloon. The angles of elevation from the two friends to the balloon are 10 ∘
and 15 ∘
, respectively. How high is the balloon? Hint: You can solve this one entirely using trig ratios and algebra, as we did in 5.2, or you can solve it using the Law of Sines for the first step. One way is definitely easier and less work than the other wayl Which will you choose... ?