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 f
rom 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
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
2 answers:
Answer:
999 ft
Step-by-step explanation:
In the picture attached, the drawn of the situation is shown
<u>Data</u>
- ∠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
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, 
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or 
or 
Since time cannot be negative, is the solution of our equation.
We can conclude that the ball will hit the ground after 2.71 seconds.
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where the test statistics is given by
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Using the statistical table, the level of the test is 0.04.
where the test statistics is given by
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Using the statistical table, the level of the test is 0.04.
Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width
we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1
y=4x-48------> y=4x-48------> equation 2
substitute equation 2 in equation 1
256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm
is a square
the answer is
</span>the rectangle's length is 16 cm
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width
we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1
y=4x-48------> y=4x-48------> equation 2
substitute equation 2 in equation 1
256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm
is a square
the answer is
</span>the rectangle's length is 16 cm