CBSE Class 10-Mathematics: Chapter –9 Some Applications of Trigonometry Part 14

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Question 26:

The angle of elevation of the top of a tower as observed from a point on the ground is and on moving ‘a’ meter towards the tower. The angle of elevation is prove that height of tower is

Let AB b Tower and Height of Tower

Let AB B Tower and Height of Tower

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Answer:

Let b tower and height of tower

In ,

In

Question 27:

A TV tower stands vertically on a bank of a canal. From a point on the other bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is from a point away from this point on the same back the angle of elevation of the top of the tower is . Find the height of the tower and the width of the canal.

A TV tower stands vertically on a bank of a canal

A TV Tower Stands Vertically on a Bank of a Canal

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Answer:

Let h be the height of tower and be the width of the river

In

In

Equating (i) and (ii),

Put in (i),