Find the angle of elevation of the Sun's altitude when the height of shadow of a vertical pole is equal to its height.

Solution

Let the height of the pole AB = x m.
∴ Length of shadow OB ol the pole AB = x m.
Let the angle of elevation be ө, i.e.
∠AOB = ө

In Right triangle OBA, we have
$tan space straight theta space equals space AB over OB equals straight x over straight x rightwards double arrow tan space straight theta space space equals space 0 space rightwards double arrow space straight theta space equals space 45 degree$
Hence, the angle of elevation of the Sun's altitude is 45°.

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Circles

Find the angle of elevation of the Sun's altitude when the height of shadow of a vertical pole is equal to its height.

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