Geometry

Triangles

Easy

A 5 meter tall tree casts a shadow of 12 meter. At the same time, a nearby tower casts a shadow of 48 meter. Find the height of the tower.

15 meter

18 meter

20 meter

25 meter

✅ Correct Option: 3

At the same instant the sun's elevation is equal, so the two triangles are similar.

$\dfrac{5}{12} = \dfrac{h}{48}$

$h = \dfrac{5 \times 48}{12} = 20$ metres.

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Solution