firsthokage firsthokage
  • 04-07-2022
  • Mathematics
contestada

How tall is the tree?
5ft
35°
-20ft-
[? ]ft

How tall is the tree 5ft 35 20ft ft class=

Respuesta :

Hope008
Hope008 Hope008
  • 04-07-2022

Answer:

  • [tex]\boxed{\bf 19ft}[/tex]

Step-by-step explanation:

[tex]\bf tan\:\theta =\cfrac{opp}{adj}[/tex]

[tex]\bf tan(35^o)=\cfrac{x}{20}[/tex]

[tex]\bf 20\;tan (35^o)=x[/tex]

[tex]\bf 14ft=x[/tex]

The height of the tree:-

  • [tex]\bf x+5ft[/tex]
  • [tex]\bf 14ft+5ft[/tex]
  • [tex]\bf 19ft[/tex]
Answer Link
djp6182583 djp6182583
  • 04-07-2022

Answer:

19.00 ft to the nearest hundredth.

Step-by-step explanation:

tan 35 = h / 20

h = 20 tan 35

Now we add the man's height

Total height of the tree

=  20 tan 35 + 5

=  19.00 ft to the nearest hundredth.

Answer Link

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