Question

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

Answer 1

Answer:

• $\boxed{\bf 19ft}$

Step-by-step 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:-

• $\bf x+5ft$

• $\bf 14ft+5ft$

• $\bf 19ft$

Answer 2

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.