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Question
The shadow of a pole with height of 8 m is 6 m. If the shadow of another pole measured at the same time is 30 m, find the height of the pole?
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Solution
Let the required height of the pole be ‘x’ m.
| Height of pole in m | 8 | x |
| Length of shadow in m | 6 | 30 |
Height of the pole and its shadow are in direct proportion
∴ `(x_1)/(y_1) = (x_2)/(y_2)`
`8/6 = x/30`
x = `(8 xx 30)/6`
x = 40
∴ Height of the pole x = 40 m.
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