Question

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

Answer 1

19.00 ft to the nearest hundredth.

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 2

• 
  `\boxed{\bf 19ft}`

Explanation:

`\bf tan\:\theta =\cfrac{opp}{adj}`

`\bf tan(35^o)=\cfrac{x}{20}`

`\bf 20\;tan (35^o)=x`

`\bf 14ft=x`

The height of the tree:-

• 
  `\bf x+5ft`

• 
  `\bf 14ft+5ft`

• 
  `\bf 19ft`