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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 8

The height of a tower is measured by a mirror on the ground at R by which the top of the tower’s reflection is seen. Find the height of the tower. If ∆PQR ~ ∆STR - Mathematics

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Question

The height of a tower is measured by a mirror on the ground at R by which the top of the tower’s reflection is seen. Find the height of the tower. If ∆PQR ~ ∆STR

Sum

Solution

The image and its reflection make similar shapes

∴ ∆PQR ~ ∆STR

`"PQ"/"ST" = "QR"/"TR" = "PR"/"SR"`

`"PQ"/"ST" = "QR"/"TR"`

⇒ `"h"/8 = 60/10`

h = `60/10 xx 8`

= 48 feet

∴ Height of the tower = 48 feet.

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Chapter 5: Geometry - Exercise 5.3 [Page 179]

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Samacheer Kalvi Mathematics [English] Class 8 TN Board
Chapter 5 Geometry
Exercise 5.3 | Q 3 | Page 179
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