A Boy Is 1.50m Tall And Can Just See His Image In A Vertical Plane Mirror 3.0m Away. His Eyes Are 1.40m From The Floor Level. Determine The Vertical D

A boy is 1.50m tall and can just see his image in a vertical plane mirror 3.0m away. His eyes are 1.40m from the floor level. Determine the vertical dimension and elevation of the shortest mirror in which he could see his full image.

 

Answer:

The elevation is 70cm and the dimension of the shortest mirror is 75cm

Explanation:

In this problem, we need to analyze the position of the boy facing a plane vertical mirror and show measurements. I have provided an illustration below.

From the illustration, AC represents the shortest mirror to view his image and CD represents the elevation.

Solving the problem

From the illustration, the height of the boy is 1.50m and his eye level from the floor is 1.40m, so this means that there is a difference of 0.1m = 10cm.

Now, we create intersecting lines from the head of the boy to the eye of the image formed from the mirror and vice-versa where AB = 5 cm and is also CB = 5cm.

Now, let us create another intersecting line from the eye of the boy to the foot of the image form of the boy in the mirror and vice-versa.

Here, BC is half of 1.40m (140cm) according to the illustration which is BC = 70cm. Likewise, CD = 70cm.

Now, adding AB and BC represents the dimension of the shortest mirror

Dimension(mirror) = AB + BC

Dimension(mirror) = 5cm + 70cm

Dimension(mirror) = 75cm

Take note that CD is the elevation, CD = 70cm.

To learn more, just click the following links:

  • Property of light applicable with mirror

        brainly.ph/question/1003670

  • What happens to light when it strikes a plane mirror?

        brainly.ph/question/1648786

  • The distance of the object and image from the mirror

        brainly.ph/question/482510

#LetsStudy


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