SOLUTION: Ivan and Bucky are standing on opposite sides of a tree. The angle of elevation to the top of the tree from Ivan is 30° and from Bucky is 35°. If they are 65 meters apart from one

Algebra ->  Triangles -> SOLUTION: Ivan and Bucky are standing on opposite sides of a tree. The angle of elevation to the top of the tree from Ivan is 30° and from Bucky is 35°. If they are 65 meters apart from one       Log On


   



Question 1062091: Ivan and Bucky are standing on opposite sides of a tree. The angle of elevation to the top of the tree from Ivan is 30° and from Bucky is 35°. If they are 65 meters apart from one another, how tall is the tree?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
v for iVan's distance;
b for Bucky's distance;
from the tree bottom.
y for how high the tree from bottom to top.

Draw your picture.
Two Right Triangles, sharing the side y.

system%28v%2Bb=65%2Ctan%2830%29=y%2Fv%2Ctan%2835%29=y%2Fb%29

Can you find what to do with that system and solve for the value of y?