Question

Find the angle of depression from the top of 12m high tower of an object lying at a point 12m away from the base of tower.​

Answer 1

Answer:

45°

Step-by-step explanation:

In triangle ABC,

tan theta=AB/BC

Theta=12/12

theta=1

=45°

Answer 2

Answer:

The angle of depression refers to the angle between the horizontal line of sight and the line from the observer to an object below the observer's line of sight.

Step-by-step explanation:

In this case, the observer is at the top of a 12m high tower and is looking at an object lying at a point 12m away from the base of the tower.

To find the angle of depression, we can use trigonometry. Let's assume that the angle of depression is x. Then, the triangle formed by the tower's height, the distance from the tower to the object, and the line of sight can be represented as a right triangle.

Using the Pythagorean theorem, we can write:

12^2 + 12^2 = x^2

Simplifying, we get:

144 = x^2

Taking the square root of both sides, we get:

x = 12

So, the angle of depression is 12 degrees. This means that the line of sight from the top of the 12m high tower to the object lying at a point 12m away from the base of the tower forms an angle of 12 degrees with the horizontal line.

It is important to note that the angle of depression is always measured from the horizontal line, regardless of the observer's height or the object's location. This angle can be used in navigation, surveying, and other related fields to determine the position and location of objects.

In conclusion, the angle of depression from the top of a 12m high tower to an object lying at a point 12m away from the base of the tower is 12 degrees.

To learn more about angle of depression, click the link below.

https://brainly.in/question/50007027

To learn more about horizontal line, click the link below.

https://brainly.in/question/17172177

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