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

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?

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

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