On a horizontal ground, the base of straight ladder is 6 {m} away from the base of a vertical pole. The ladder makes an angle of 45^{\circ} to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ______________ meter.

GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 5 of 65

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On a horizontal ground, the base of straight ladder is

6 {m}

away from the base of a vertical pole. The ladder makes an angle of

45^{∘}

to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ______________ meter.

Your Answer:

Validate

Solution:

\tan 45^{∘}=\;{\;{h}/{5}}/{6}

⇒ 1=\;{h}/{30}

\ h=30 {m}

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