Finding the length of a shadow

by Morgan
(Washington )

I'm 6 ft tall and I cast a 12 ft shadow.

I want to find out the length a 5 ft tree's shadow.

How would I do that?

 Jun 24, 2014 length a 5 ft tree's shadow by: Staff Answer Part I The two triangles shown are similar triangles. Numerically, the ratio computed by dividing the length of any side of tree triangle by the length of the corresponding side of the human (similar) triangle will be the same value. Therefore, when the length of the tree shadow is divided by the length of the human shadow, that ratio will be the exactly same as the tree height divided by the human height. Mathematically, this can be expressed in the following equation: (length of tree shadow) / (length of human shadow) = (tree’s height) / (human’s height) Substitute the known values in the equation length of the tree’s shadow = L (unknown) length of human shadow = 12 feet tree’s height = 5 feet your height = 6 feet (L) / (12) = (5) / (6) --------------------------------------------------

 Jun 24, 2014 length a 5 ft tree's shadow by: Staff -------------------------------------------------- Part II Solve for L Multiply each side of the equation by 12 [(L) / (12)] * 12 = [(5) / (6)] * 12 Simplify the equation (L / 12) * (12 / 1) = (5 / 6) * (12 / 1) (L * 12) / (12 * 1) = (5 * 12) / (6 * 1) (L * 12) / 12 = (5 * 12) / 6 The final solution L * (12 / 12) = 5 * (12 / 6) L * (1) = 5 * (2) L = 10 --------------------------------------------------

 Jun 24, 2014 length a 5 ft tree's shadow by: Staff -------------------------------------------------- Part III Final answer Length of the tree’s shadow = 10 feet Thanks for writing. Staff www.solving-math-problems.com

 Oct 21, 2020 what NEW by: Anonymous what the fuck

 Nov 02, 2020 bruh NEW by: Anonymous Woah someones still here

 Nov 15, 2020 bruhhh NEW by: other bruh this is so overly complicated for what its actually doing... bruh sound effect #4

 Jan 21, 2021 Giant? NEW by: Anonymous Why is human higher than the tree ?

 Jun 21, 2021 This makes no fucking sense. NEW by: Imsped cock

 May 30, 2022 im in the basement NEW by: sugon people still write here?

 Oct 16, 2022 f this NEW by: Anonymous tf is this bs