SOLUTION: i need to find the height of an evergreen in the backyard i sketched the info i placed a yardstick parallel to the tree and compared its shadow on the ground with the length of t

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Question 158903: i need to find the height of an evergreen in the backyard i sketched the info
i placed a yardstick parallel to the tree and compared its shadow on the ground with the length of the shadow of the tree. how tall is the tree?
the shadow of the tree is 22ft long
the height of the yardstick is 3 feet and the shadow is 4 feet long
Found 2 solutions by checkley77, jojo14344:
Answer by checkley77(12569) About Me  (Show Source):
You can put this solution on YOUR website!
3/4=x/22
4x=3*22
4x=66
x=66/4
x=16.5 ft. tall.

Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
You can also solve by TRIGO FUNCTIONS:
Remember: H%5BT%5D=x unknown; S%5BT%5D=22ft
h%5Bys%5D=3ft; s%5Bys%5D=4ft
Since both forms a right triangle, we can use trigo function SINE = opp%2Fhyp:
sin%28alpha%29+=opp%2Fhyp=h%5Bys%5D%2Fs%5Bys%5D
sin%28alpha%29=3%2F4
alpha=sin%5E-1%280.75%29
alpha=48.59deg -----> the same angle the TREE forms
Therefore,
sin%28alpha%29=H%5BT%5D%2FS%5BT%5D
sin%2848.59%29=H%5BT%5D%2F22
H%5BT%5D=sin%2848.59%29%2822ft%29
H%5BT%5D=16.5ft --------------------------> Height of the Tree
Thank you,
Jojo