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A meteorologist measures the angle of elevation to her weather balloon as 33 degrees. A radio signal from the balloon indicates that it is 1601 meters diagonally from her location. How high is the weather balloon above the ground? Round to the nearest hundredth.
A. 871.97 feet
B. 1342.71 feet
C. 2939.56 feet
D. 1039.70 feet

Respuesta :

fieryanswererft

Answer: A. 871.97 feet

Here given:

  • angle: 33°
  • hypotenuse: 1601
  • opposite: height above ground

Using Sine Rule:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\rightarrow \sf sin(33) = \dfrac{height}{1601}[/tex]

[tex]\rightarrow \sf height = 1601sin(33)[/tex]

[tex]\rightarrow \sf height = 871.97 \ feet[/tex]

Let's check

  • Hypotenuse=Diagonal=H=1601m
  • Angle=33°

Now

  • cos33=Base/Hypotenuse
  • cos33=Base/1601
  • Base=1601cos33
  • Base=1342.7ft

Apply Pythagorean theorem

  • P²=1601²-1342.7²

On solving we will get

  • P=871.97ft

For spare way of solving this same question visit my answer here

https://brainly.com/question/27938731?

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