 # When The Length Of Shadow Of A Vertical Pole Is Equal To √ 3 Times Of Its Height The Angle Of Elevation Of The Sun’S Altitude Is?

## What is the angle of elevation of the sun when the shadow of a pole of height?

Let the height of the pole AB = x m.

∴ Length of shadow OB ol the pole AB = x m.

Let the angle of elevation be ө, i.e.

Hence, the angle of elevation of the Sun’s altitude is 45°..

## When the length of the shadow of a pillar is equal to its height the elevation at Source of sight is?

The height of pillar, and the length of the shadow are equal to each other. Therefore, the angle of elevation of the pillar from the source of sight is 45°, making the answer Option(b) 45°.

## What is the length of the shadow of a building having 10 Metre height if the angle of elevation of the sun is 45 degree?

In figure, AB is the tower and BC is the length of the shadow when the Sun’s altitude is 45°, i.e. the angle of elevation of the top of the tower from the tip of the shadow is 45°. Thus, the height of the shadow is 10 m.

## What is the angle of elevation?

An angle of elevation is an angle with one horizontal arm, and one arm above horizontal. Usually an angle of elevation is less than or equal to 90°.

## What will be the angle of elevation of sun?

So the angle of elevation is θ=30°

## When the length of shadow of a vertical pole is equal to?

Hint: Since the length of shadow of vertical pole is equal to the height of the pole. So then angle be tantanθ=height of the polelength of the shadow of pole as it will form a triangle.

## What is the length of shadow?

The length of shadow to your height is proportional to 1/Tangent (sun’s altitude). If the sun is low in the sky (10 degrees), your shadow would be 5.67 times as long as your height. The corresponding ratio at 5 degrees is 11.43 . (So an average height person (5.8 feet) would have a 66 foot long shadow).

## When the length of the shadow of a pole is equal to root 3?

question_answer Answers(3) ∠ACB = 30°. ∴ height of shadow =√3h . ∠ACB = 30°. Therefore, angle of elevation is 30°.

## How do you find the length of a shadow of a building?

Rewrite the following formula with the numerical equivalents: Object Height / tan θ = Shadow Length. For example, for the 790-foot high Prudential Tower in Boston, the formula would be 790 / 2.89 = Shadow Length. Calculate the formula to determine the shadow length. For example: 790 / 2.89 = 273.36 feet.

Transparent objects cannot form a shadow. They are only formed in opaque or translucent objects. If we take a glass slab, no shadow is formed because it allows light to pass through it.

## Why is the length of shadow smallest at noon?

As the Sun moves, light falls on the object at an angle. The bigger angle, the longer the shadow. At noon, the Sun is directly overhead. This makes the smallest angle with the objects and so creates the shortest shadows.

## What happens to the length of shadows during the day?

When we are outside on a sunny day, we can see how our shadows change throughout the day. The Sun’s position in the sky affects the length of the shadow. When the Sun is low on the horizon, the shadows are long. When the Sun is high in the sky, the shadows are much shorter.

## When the length of shadow is equal to the length of the tower then angle of elevation is?

In right angle ΔABC, AB represents the vertical pole and BC represents the shadow on the ground. θ represents angle of elevation the sun. But length of shadow = height of the tower, i.e. h = x. Thus, angle of elevation of the tower = 45°.