Jesse places a mirror on the ground 25 ft from the base of a light pole. he walks backward until he can see the top of the light pole in the middle of the mirror. at that point, jesse’s eyes are 6 ft above the ground and he is 5.5 ft from the mirror. draw a sketch of this situation and use similar triangles to find the height of the light pole. round to the nearest tenth.

Suppose light pole is at PQ.

Jesse is at RS.

Mirror is at M.

In the diagram; PQ = h, QM = 25 feet, RS = 6 feet, SM = 5.5 feet.

We know angle of incidence = angle of reflection, so ∠i = ∠r.

It means ∠x = ∠a

and 90-x = 90-a ⇒ ∠y = ∠b

∠Q = ∠S = 90°

It means triangle ΔPQM is similar to triangle ΔRSM.

So, Ratio of corresponding sides would be proportional.

Hence, the height of the light pole is 27.3 feet.

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step-by-step explanation:

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