While taking a ride in a hot-air-balloon in Napa Valley, Francisco wonders how high he is. To find out, he chooses a landmark on the ground that is to the east of the balloon and measures the angle of
depression to be 54°. A few minutes later, after the balloon floats horizontally 100 feet east, closer to the
landmark, the angle of depression to the same landmark is determined to be 61°. Determine the height h
of the balloon. Round your answer to the nearest tenth.

a) Find the measures of ∠1, ∠2, ∠3 and ∠4:

∠1 = ∠2 =
∠3 = ∠4 =
b) Solve for the height of the balloon, h. You may use any
appropriate method but must show your work!