(B) The angle of depression is defined as the angle formed by the line of sight with the horizontal level when the object is below the horizontal leve

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(B) The angle of depression is defined as the angle formed by the line of sight with the horizontal level when the object is below the horizontal level.Since the observer is looking down at the object,the object must be situated below the horizontal line passing through the observer's eye.Therefore,the correct option is $B$.

Class 10 Mathematics Some Applications of Trigonometry Heights and Distances

Medium

Observing an object from the point of observation,if one gets the angle of depression,then the object under observation is $\ldots \ldots \ldots . . .$

A
opposite to the horizontal ray
B
below the horizontal ray
C
above the horizontal ray
D
below the ray of vision

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Class 10 Questions

Class 10

Mathematics Questions

Chapter

Some Applications of Trigonometry

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Heights and Distances

$A$ pole stands vertically on the ground. The length of the shadow of the pole is $\frac{1}{\sqrt{3}}$ times the height of the pole. Then,the angle of elevation of the sun is $\ldots \ldots \ldots \ldots . . .$ (in $^\circ$)

Medium

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From the top of a tower $h \, m$ high,the angles of depression of two objects,which are in line with the foot of the tower,are $\alpha$ and $\beta$ (where $\beta > \alpha$). Find the distance between the two objects.

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$A$ ladder leans against a wall such that its lower end makes an angle of measure $\theta$ with the ground. If its lower end is $a \ m$ away from the base of the wall,then the ladder reaches the wall at a height of $\ldots \ldots \ldots \ldots \ldots \ m$.

Medium

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Write 'True' or 'False' and justify your answer.
The angle of elevation of the top of a tower is $30^{\circ}$. If the height of the tower is doubled,then the angle of elevation of its top will also be doubled.

Difficult

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$A$ pole stands slanting on the ground making an angle of $60^{\circ}$ with the ground. At high noon,the length of the shadow of the pole is $3 \, m$. Find the length of the pole in $m$.

Medium

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Observing an object from the point of observation,if one gets the angle of depression,then the object under observation is $\ldots \ldots \ldots . . .$

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$A$ pole stands vertically on the ground. The length of the shadow of the pole is $\frac{1}{\sqrt{3}}$ times the height of the pole. Then,the angle of elevation of the sun is $\ldots \ldots \ldots \ldots . . .$ (in $^\circ$)

From the top of a tower $h \, m$ high,the angles of depression of two objects,which are in line with the foot of the tower,are $\alpha$ and $\beta$ (where $\beta > \alpha$). Find the distance between the two objects.

$A$ ladder leans against a wall such that its lower end makes an angle of measure $\theta$ with the ground. If its lower end is $a \ m$ away from the base of the wall,then the ladder reaches the wall at a height of $\ldots \ldots \ldots \ldots \ldots \ m$.

Write 'True' or 'False' and justify your answer.The angle of elevation of the top of a tower is $30^{\circ}$. If the height of the tower is doubled,then the angle of elevation of its top will also be doubled.

$A$ pole stands slanting on the ground making an angle of $60^{\circ}$ with the ground. At high noon,the length of the shadow of the pole is $3 \, m$. Find the length of the pole in $m$.

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Write 'True' or 'False' and justify your answer.
The angle of elevation of the top of a tower is $30^{\circ}$. If the height of the tower is doubled,then the angle of elevation of its top will also be doubled.