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A hot air balloon is one mile above sea level when it begins to climb at a constant angle of 4° for the next 50 ground miles. About how far above sea level is the hot air balloon after its climb?

Respuesta :

altavistard

Answer:

3.5 miles

Step-by-step explanation:

The tangent function applies here.  The opposite side would be the unknown; the adj. side would be 50 miles.  The angle is 4°.

Then:

              height

tan 4° = ------------

               50 mi

so that the height is (50 mi)(tan 4°) = 3.5 miles

abbusaicharan02

The correct answer is 3.5 miles far above sea level.

The tangent function applies here.  The opposite side would be the unknown; the adj. side would be 50 miles.  The angle is 4°.

Then        

tan 4° =height/50mi          

so that the height is (50 mi)(tan 4°) = 3.5 miles.

How fast does a hot air balloon rise?

Since the balloon moves with the wind, the balloon moves only at the speed at which the wind blows, and changes from the ground to the highlands. In general, balloons do not fly much faster than 8-10 mph.

A typical balloon is about 55 feet wide and 60-80 feet high. They are categorized by the amount of air that the envelope can hold. A typical size is the AX-7, which has a processing capacity of 77,000 cubic feet. It is the most common model that can be easily operated by 3 to 4 people.

Learn more about hot air balloons here: https://brainly.com/question/12010870

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