Looking up, Ravi sees two hot air balloons in the sky as shown. He determines that the lower hot air balloon is 700 meters away, at an angle of 38° from the
vertical. The higher hot air balloon is 1050 meters away, at an angle of 26° 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.
X
5
?
950 meters
26°
700 meters

Answer :

Ginacaldas4

Answer:

27163 meters

Step-by-step explanation:

The difference in the height of the balloon on the right than the balloon on the left will be 392.13 meters.

How to calculate the height?

From the information, cos 38° = AB/BC. This will be:

cos 38° = AB/BC.

cos 38° = AB/700

AB = cos 38° × 700

= 551.60 meters

Also, cos 26° = AD/1050

AD = cos 26° × 1050

AD = 943.73 meters

The difference in height will be:

= 943.73 meters - 551.60 meters

= 392.13 meters

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