Sal places a mirror on the ground between him and a flagpole. He sees the flagpole in the mirror. His height, his distance to the mirror and from the mirror to the flagpole are given in the drawing. Write and solve a proportion to find the height of the flagpole. Show all steps.
Find the height of the flagpole.
h = ___ ft

Sal places a mirror on the ground between him and a flagpole He sees the flagpole in the mirror His height his distance to the mirror and from the mirror to the class=

Respuesta :

Answer:

h = 17 ft  rounded to the nearest foot

Step-by-step explanation:

Consider the two triangles formed by

On the left  we have Sal, the distance between Sal and the mirror and the line of sight from Sal to the mirror

On the right we have the flagpole, the distance between the flagpole and the mirror and the line of sight from the top of the flagpole to the mirror

The two triangles formed are similar since the angle of incidence(angle at which light strikes the mirror) is the same as the angle of reflection. Therefor ethat means the pair of linear angles formed on the ground has the same value, angles of the two triangles are same.

Similar angles have ratios of corresponding sides equal

That means h/5 = 21.1/6.2

h = 5 x 21.1/6.2 = 17.016 ft ≈ 17 ft

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