Question

looking up, keisha sees two hot air balloons in the sky as shown. she determines that the lower hot air balloon is 365 meters away, at an angle of 23° from the vertical. the higher hot air balloon is 1035 meters away, at an angle of 41° from the vertical. how much higher is the balloon on the right than the balloon on the left? do not round any intermediate computations. round your answer to the nearest tenth. note that the figure below is not drawn to scale.

Explanation:

Step1: Find height of left balloon

$h_1 = 365\cos(23^{\circ})$

Step2: Find height of right balloon

$h_2 = 1035\cos(41^{\circ})$

Step3: Find height difference

$d=h_2 - h_1=1035\cos(41^{\circ})-365\cos(23^{\circ})$

Answer:

$391.5$