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Chapter 5: Q2E (page 1151)

The image of a tree just covers the length of a plane mirror tall when the mirror is held 35cm from the eye. The tree is 28m from the mirror. What is its height?

Short Answer

Expert verified

The height is 3.24m.

Step by step solution

01

Calculate the height using lateral magnification method

Given that height of the image of the tree is h'=4cm, the distance between the tree and the mirror is s=28mand from the eye is smirror=35cm.

The whole situation is shown in the following figure

Using the concept of lateral magnification

h'h=smirrorstreeh=streesmirrorh'h=smirror+ssmirrorh'h=0.35+280.35×0.04h=3.24m

So, the height is 3.24m.

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