Charlie is watching hot air balloons. Balloon A has risen at a 50° angle. Balloon B has risen at a 78° angle. If the distance from balloon A to the ground is 1,000 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.

A) 999 feet
B) 1,005 feet
C) 1,052 feet
D) 1,102 feet

Please consider the attached file.

Let A represent adjacent side between Charlie and balloon A and B represent adjacent side between Charlie and balloon B.

We have been given that Charlie is watching hot air balloons. Balloon A has risen at a 50° angle. Balloon B has risen at a 78° angle. The distance from balloon A to the ground is 1,000 feet. We are asked to find the distance between both balloons.

We can see that the distance between both balloons will be equal to adjacent sides.

We know that tangent relates opposite side of right triangle with its adjacent side.

Now we will add A and B as:

Upon rounding our answer to nearest whole number, we will get:

Therefore, balloon B is 1052 feet far from balloon A and option C is the correct choice.

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step-by-step explanation:

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step-by-step explanation: