Find the height of The observer the site of eye is 25 degree while the ground is 60 m
Without additional information, it is not possible to determine the height of the observer using the given information.
To find the height of the observer, we can use the concept of trigonometry. We know that the angle of elevation from the observer's eye to the top of an object is the same as the angle of depression from the top of the object to the observer's eye.
Given:
Angle of elevation (θ) = 25 degrees
Height of the object (h) = 60 m
Let's define the height of the observer (x).
Using trigonometry, we can say:
tan(θ) = opposite side / adjacent side
In this case, the opposite side is the height of the object (h) and the adjacent side is the height of the observer (x + h).
Therefore, we can write:
tan(25 degrees) = h / (x + h)
Let's rearrange the equation to solve for x:
(x + h) = h / tan(25 degrees)
x = (h / tan(25 degrees)) - h
Substituting the given values:
x = (60 / tan(25 degrees)) - 60
Calculating the value of x:
x ≈ 113.86 - 60
x ≈ 53.86
Hence, the height of the observer is approximately 53.86 meters.