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Opposite & Adjacent Sides in a Right Angled Triangle

The shadow of...

Question

The shadow of a tower standing on a level ground is found to be 40 m longer when Sun's altitude is 30° than when it was 60°. Find the height of the tower.

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Solution

Let be the tower of height.given the shadow of tower m. attitude of sun are and. Here we have to find height of tower. Let and .

So we have trigonometric ratios

In

Again in

Put

Hence height of tower is m.

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Q. Shadow of a tower standing on a level ground is found to be 40 m longer when the sun's altitude is 30 degree than when it is 60 degree. find the height of the tower

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