Angle of Depression

Q. Statement 1: Angle of depression is the angle between line of sight and the horizontal level when the object is above the horizontal line.
Statement 2: Angle of elevation is the angle between line of sight and the horizontal level when the object is below the horizontal line.

1. Statement 1 and statement 2 are true
2. Only statement 2 is true
3. Only statement 1 is true
4. Statement 1 and statement 2 are false

Q.

If a person is looking down at an object, then the angle the man’s line of sight makes with his eye level is the angle of __.

Q. A 6 feet tall man sees an apple on the ground, $6\sqrt{3}$ feet away from him. What is the angle of depression when he is looking at the apple?

1. ${30}^{\circ }$
2. ${60}^{\circ }$
3. ${45}^{\circ }$
4. can't be determined

Q.

State whether the given statement is true or false:

The angle of elevation is the angle between the line of sight of an observer below his horizontal line of sight.

1. True

2. False

Q.

State whether the given statement is true or false:

The angle of depression is the angle between the line of sight of an observer below his horizontal line of sight.

1. True

2. False

Q.

The angles of depression of two objects from the top of a 100 m hill lying to its east are found to be ${45}^{\circ }and{30}^{\circ }$. Find the distance between the two objects. (Take $\sqrt{3}=1.732$)

1. 73.2 metres

2. 107.5 meters

3. 150 metres

4. 200 metres

Q.

If the angle of elevation of a cloud from a point 200 mabove a lake is ${30}^{\circ }$and the angle of depression of the reflection of the cloud in the lake from the same point is ${60}^{\circ }$, then the height of the cloud above the lake is:

1. 30 m

2. 200 m

3. 500 m

4. 400 m

Q. The angle formed by line of sight with the horizontal, when we lower our head to look at an object is called ____.

1. angle of depression
2. acute angle
3. angle of elevation
4. obtuse angle

Q. Angle of depression is the angle between line of sight and the horizontal when the object is below the horizontal line.

1. False
2. True

Q.

From the top of a lighthouse, the angles of depression of two ships on the opposite sides of it are observed to be $\alpha$ and $\beta$. If the height of the lighthouse be h metres and the line joining the ships passes through the foot of the lighthouse, find the distance between the ships is metres.

1. $\frac{h(cosec\alpha +tan\beta )}{tan\alpha tan\beta }$

2. $\frac{h(sec\alpha +tan\beta )}{tan\alpha tan\beta }$

3. $\frac{h(tan\alpha +cot\beta )}{tan\alpha tan\beta }$

4. $\frac{h(tan\alpha +tan\beta )}{tan\alpha tan\beta }$