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  • 24-04-2019
  • Mathematics
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find the height of the skyscraper in feet, correct to two decimal places.

find the height of the skyscraper in feet correct to two decimal places class=

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gmany
gmany gmany
  • 24-04-2019

Answer:

264.49

Step-by-step explanation:

Look at the picture.

We must use the tangent.

[tex]tangent=\dfrac{opposite}{adjacent}[/tex]

We have:

[tex]opposite=h\\adjacent=1,500\ ft\\\\\tan10^o\approx0.1763[/tex]

Substitute:

[tex]\dfrac{h}{1,500\ ft}=0.1763[/tex]      multiply both sides by 1,500 ft

[tex]h=264.45\ ft\to h\approx264.49\ ft[/tex]

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