Simple geometry can compute the height of an object from the object's shadow length and shadow angle using the formula: tan (angleElevation) = treeHeight / shadowLength. Given the shadow length and angle of elevation, compute the tree height.

Question

Mathematics

Jasiah Hobbs

16 May, 21:33

Simple geometry can compute the height of an object from the object's shadow length and shadow angle using the formula: tan (angleElevation) = treeHeight / shadowLength. Given the shadow length and angle of elevation, compute the tree height.

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Answers (1)

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Danielle Ramsey · Answer 1

Step-by-step explanation:

if Tan (angle of Elevation) = Tree Height/Shadow Length

Lets assume Tree height = x

shadow Length = 6

Tan (180)

therefore Tan (90) = x/6

Make X subject of formula x (Tree Height) = Tan 180 * 6 = 8

x=8