Kelsey is 5 feet tall and stands 35 feet away from the building and she cast a shadow 8 feet long find the height of the building

Step-by-step explanation:

Given:

AB = h = x = height of building

DE = 5 ft Kelsey tall

AD = 35 ft

DC = 8 ft

To Find:

AB = h = x = height of building

Solution

In  Δ ABC and Δ DEC

∠A ≅ ∠D    …………..{ measure of each angle is 90° given }

∠B ≅ ∠E      ..............{corresponding angles ∵ DE || AB }

∠C ≅ ∠C    ……….....{Reflexive Property}      

Δ ABC ~ Δ DEC ….{Angle-Angle-Angle  Similarity test}

If two triangles are similar then their sides are in proportion.

On substituting the given values we get

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

the answer is 62.8 cubic units