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Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle. If the distance from balloon A to the ground is 1,400 feet, how far

is balloon B from balloon A? Round your answer to the nearest whole number

Balloon A

Balloon B

Ground

Charlie

999 feet

1,005 feet

1,052 feet

1,102 feet

Sagot :

DWRead

Answer:

Step-by-step explanation:

Assume that B is directly above A.

x = horizontal distance between Charlie and balloons

 = 1400/tan(60°)

altitude of B = x·tan(82°) ≅ 5751 ft

distance between A and B = 5751-1400 = 4351 ft, which doesn't fit any of the choices. So my initial assumption was incorrect.

Is there any other information? A picture?

View image DWRead

The distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle

In right angle triangle ACD,

tanx = AC/CD

tan60 = 1400/CD

CD = 808.3

In triangle BDE,

tany = BE/DE

tan82 = 1400/DE

DE = 196.8

The distance between balloon A and balloon B:

= CD + DE

= 808.3 + 196.8

=   1005 Feet

Thus, the distance between balloon A and balloon B is 1005 feet if Charlie is watching hot air balloons Balloon A has risen at a 60° angle Balloon B has risen at an 82 angle option second 1005 feet is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

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View image maheshpatelvVT