Answer:

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 .............. 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

