- #1
chawki said:It seems that tan45=h/22
chawki said: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
The formula for solving tree height using tangent is tanθ = opposite/adjacent, where θ is the angle of elevation and opposite is the height of the tree and adjacent is the distance from the tree to the observer.
You can determine the angle of elevation for a tree by measuring the vertical distance from the ground to the top of the tree and the horizontal distance from the tree to the observer. Then, use the inverse tangent function to calculate the angle.
The value of tan45 is 1. This means that the opposite and adjacent sides of a right triangle are equal in length when the angle is 45 degrees.
You can measure the distance from the tree to the observer using a measuring tape, ruler, or other measuring tool. Make sure to measure the horizontal distance, not the diagonal distance.
Yes, this formula can be used for any tree as long as you accurately measure the angle of elevation and the distance from the tree to the observer.