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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
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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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