Respuesta :

Answer: Around 68.0858 m

Step-by-step explanation:

  • Set the height of 37°-53°-90° triangle as x
  • Set the height of 50°-40°-90° triangle as y
  • The horizontal side both triangles share = 35

To find x                            To find y  

[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex]                     [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]

To find the height of the building, add the x-value and y-value:

[tex]x+y=26.3744+41.7114=68.0858[/tex]  

I hope this is correct o_o

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