CBSE Class 10-Mathematics: Chapter –9 Some Applications of Trigonometry Part 6

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Question 5:

A kite is flying at a height of above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is . Find the length of the string, assuming that there is no slack in the string.

Find the length of the string

Find the Length of the String

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Answer:

In right triangle ABC,

Hence the length of the string is .

Question 6:

A TV tower stands vertically on a 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 another point away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is (see figure). 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:

In right triangle ABC,

In right triangle ABD,

From eq. (i) and (ii),

From eq. (i),

Hence height of the tower is and the width of the canal is .

Question 7:

From the top of a high building, the angle of elevation of the top of a cable tower is and the angle of depression of its foot is . Determine the height of the tower.

elevation of the top of a cable tower

Elevation of the Top of a Cable Tower

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Answer:

In right triangle ABD,

In right triangle AEC,

Hence height of the tower is