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P the Ratio of the Length of a Rod and Its Shadow is 1 : √ 3 . the Angle of Elevation of the Sum is - Mathematics

MCQ

The ratio of the length of a rod and its shadow is `1 : sqrt3`. The angle of elevation of the sum is 

Options

  • 30°

  •  45°

  • 60°

  • 90°

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Solution

Let θ be angle of elevation of sun. 

Given that: angle of elevation is `60°`from tower of foot and distance`BC=100` meters.

Here, we have to find the height of tower.

So we use trigonometric ratios.

In a triangle `ABC` 

`⇒ tan C=( AB)/(BC)` 

`⇒ tan 60°= (AB)/(BC)` 

`⇒ sqrt 3=h/100`

`⇒=100sqrt3`

Hence correct option is `a`.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 12 Trigonometry
Q 1 | Page 41
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