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12. Some Application of Trigonometry
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Q1 of 107 Page 12

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


Let BC be the height of tower which is 10m


Sun`s altitude is 45°


Let AB would be the shadow of the tower x meters


∴ tan 45° = BC /AB (tan θ = perdendicular/base)


⇒ 1= 10/x


x= 10m


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71

The angle of elevation of the top of a chimney from the top of a tower is 60° and the angle of depression of the foot of the chimney from the top of the tower is 30°. If the height of the tower is 40 m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question?

72

An aeroplane is flying at a height of 210 m. Flying at this height at some instant the angles of depression of two points in a line in opposite directions on both the banks of the river are 45° and 60°. Find the width of the river.

2

If the ratio of the height of a tower and the length of its shadow is √3 :1, what is the angle of elevation of the Sun?

3

What is the angle of elevation of the Sun when the length of the shadow of a vertical pole is equal to its height?

Questions · 107
12. Some Application of Trigonometry
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