Solve for Tree Height: tan45=h/22

[chawki]

Homework Statement

see attachments.

Homework Equations

what is the height of the tree?

The Attempt at a Solution

It seems that tan45=h/22
h=22*tan45
h=22m

 

[Mentallic]

It seems that tan45=h/22

No. You need to look at right triangles. tan45^o=h/d where d is the perpendicular distance from the endpoint to the tree.
By the way, you might want to call the top end of the tree height h₁ and the bottom end h₂ such that h₁+h₂=h (the total height of the tree).

 

[chawki]

like that ?

sin17=x/22
x=6.432m

tan28=z/y----(1)
we search y.
22²= x²+y²
y²=22²-x²
y²=484-41.37
y=21.038m

(1) <=> z=y*tan28 = 21.038*tan28 = 11.186m

height of tree = x+z = 6.432+11.186 = 17.618m

 

[Dick]

like that ?

sin17=x/22
x=6.432m

tan28=z/y----(1)
we search y.
22²= x²+y²
y²=22²-x²
y²=484-41.37
y=21.038m

(1) <=> z=y*tan28 = 21.038*tan28 = 11.186m

height of tree = x+z = 6.432+11.186 = 17.618m

Looks ok to me.