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Drupady [299]
2 years ago
12

Please someone help!!!!

Mathematics
1 answer:
ira [324]2 years ago
6 0

Answer:

165.8 ft (nearest tenth)

Step-by-step explanation:

We can use the tan trig ratio to calculate the height of the tower.

\sf tan(\theta)=\dfrac{O}{A}

where:

  • \theta = the angle
  • O = the side opposite the angle
  • A = the side adjacent the angle

From inspection of the diagram:

  • \theta = 37°
  • O = height of tower (let's call this h)
  • A = 220 ft

Substituting these values into the trig tan ratio:

\sf \implies tan(37)=\dfrac{h}{220}

Multiply both sides by 220:

\sf \implies 220tan(37)=h

\sf \implies h=220tan(37)

\sf \implies h=165.781891

Therefore, the height of the tower is 165.8 ft (nearest tenth)

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