Question

Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance from balloon A to the ground is 1,200 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number.
Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled Ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line Ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line Ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.

999 feet

1,005 feet

1,052 feet

1,102 feet

Answer 1

Answer:

999 ft

Step-by-step explanation:

In the picture attached, the drawn of the situation is shown

Data

• ∠x = 56°

• ∠y = 81°

• distance from balloon A to the ground is 1,200 feet

From definition:

tan(∠x) = opposite/adjacent

tan(56°) = 1200/adjacent

adjacent to ∠x = 1200/tan(56°)

adjacent to ∠x = 809.41 ft

tan(∠y) = opposite/adjacent

tan(81°) = 1200/adjacent

adjacent to ∠y = 1200/tan(81°)

adjacent to ∠y = 190.06 ft

The distance from balloon A to balloon B is: 809.41 + 190.06 = 999.47 ≈ 999 ft

Answer 2

Answer:

1,052

Step-by-step explanation:

Got it right on the test