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Alborosie
2 years ago
5

Please and Thank you!

Mathematics
2 answers:
anyanavicka [17]2 years ago
5 0

Use sine

  • sin33=Perpendicular/Hypotenuse
  • sin33=P/1601
  • P=1601sin33
  • P=871.97ft

babymother [125]2 years ago
3 0

Answer:

A.  871.97 m

Step-by-step explanation:

Model this is a <u>right triangle</u>.

Use the <u>sine trigonometric ratio</u> to find the height of the weather balloon from the ground.

<u>Sine trigonometric ratio</u>

\sf \sin(\theta)=\dfrac{O}{H}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

  • \theta = 33°
  • O = height
  • H = 1601 m

Substitute the given values into the formula and solve for O:

\implies \sf \sin(33^{\circ})=\dfrac{height}{1601}

\implies \sf height=1601\sin(33^{\circ})

\implies \sf height=871.97\:m\:\:(nearest\:hundredth)

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