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Pythagoras Theorem

The height of...

Question

The height of a tower is 10 m. What is the length of its shadow when Sun's altitude is 45°?

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Solution

Let be the length of shadow is m

Given that: Height of tower is meters and altitude of sun is

Here we have to find length of shadow.

So we use trigonometric ratios.

In a triangle,

Hence the length of shadow is m.

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Similar questions

Q. Find the height of a tower whose shadow is 10 m long when the sun's altitude is 45°.

If the shadow of a tower is 30 m when the sun's altitude is $30^{\circ}$ what is the length of the shadow when the Sun's altitude is $60^{\circ}$ ?

Q. The shadow of a tower is 30 meters when the sun's altitude is

30^{\circ}

. When the sun's altitude is

60^{\circ}

then the length of shadow will be

Q. When the sun's altitude changes from

30^{\circ}

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, the length of the shadow of a tower decreases by

70 m

. What is the height of the tower?

Q. When Sun's altitude is

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