A man standing on a window of the first floor of a building observed that the angle of depression of forest in which is 10 metre from the photo of the building is 45° claims to the window of the second floor directory above the first word and observe the end of the session of the dustbin to be 60 degree calculate the height of the floor and the second floor.

Question

A man standing on a window of the first floor of a building observed that the angle of depression of forest in which is 10 metre from the photo of the building is 45° claims to the window of the second floor directory above the first word and observe the end of the session of the dustbin to be 60 degree calculate the height of the floor and the second floor.

Answer 1

This is gibberish.

photo?
claims?
directory?
word?
session?

do you even read what you post?

Have you drawn a diagram of the situation?

Answer 2

Mathematics

Answer 3

To calculate the height of the floor and the second floor, we can use the concept of trigonometry involving angles of depression.

First, let's introduce some variables:
Let 'x' be the height of the first floor.
Let 'h' be the height of the second floor.

Now, let's break down the problem into steps:

Step 1: Understanding the problem
The man standing on the first floor observes the angle of depression of the forest to be 45 degrees. This means the angle formed between the line of sight from the man to the base of the forest and a horizontal line is 45 degrees.

Step 2: Calculating the distance between the first floor window and the base of the forest
The problem states that the forest is 10 meters away from the photo of the building. We can draw a right-angled triangle, where the horizontal distance between the first-floor window and the base of the forest is the base of the triangle, and the vertical distance is 10 meters. We know that the angle of depression (from step 1) is 45 degrees. Therefore, we have a right-angled triangle with a base of 10 meters and an angle of 45 degrees.

Using trigonometry, we can find the height of the first floor window from the base of the forest:
tan(45 degrees) = height of first-floor window / 10 meters
height of first-floor window = 10 meters * tan(45 degrees)

Step 3: Calculating the height of the first floor
The height of the first floor is equal to the height of the first-floor window plus 'x' (the distance from the ground to the first floor window).

Height of the first floor = height of first-floor window + x

Step 4: Calculating the height of the second floor
The problem states that the angle of depression of the dustbin from the second floor window is 60 degrees. Similar to Step 2, we can create a right-angled triangle using this information.

We can use the same approach to calculate the height of the second-floor window:
tan(60 degrees) = height of second-floor window / 10 meters
height of second-floor window = 10 meters * tan(60 degrees)

Step 5: Calculating the height of the second floor
The height of the second floor is equal to the height of the second-floor window plus 'h' (the distance from the ground to the second-floor window).

Height of the second floor = height of second-floor window + h

Now, you can substitute the calculated values from Step 2 and Step 4 into Step 3 and Step 5, respectively, to find the height of the first floor and the height of the second floor.