to find the height of a tree scientist, sally moves 160 feet away from the base of the tree and then with the tool 6 feet tall measures the angle of the elevation to the draw top of the tree to be 62° to the nearest foot what is the height of the tree?
Let h be the height of the tree.
Using the tangent function, we can set up the following equation:
tan(62°) = h / 160
Simplifying the equation, we have:
h = tan(62°) * 160
Calculating tan(62°), we have:
h = 1.88072633965 * 160
Therefore, the height of the tree is approximately 300.92 feet.