Find the height of the observer 25 degrees above the ground with 60m the base metre
Tan(x)=h/60tan=60/hxh\h=60tan25=h
It is another trig problem. The equation to find h would be tan(x) = h/60. Then, from there, you multiply both sides by 60 to get 60tan(x) = h. Replace x with 25 and then you will get 60tan25 = h. Now plug it in your calculator, as I do not own a calculator.
To find the height of the observer, we will use the tangent function. The tangent of an angle is equal to the height divided by the base.
In this case, the angle is 25 degrees and the base is 60 meters. Let's denote the height as 'h'.
Therefore, the equation is:
tan(25 degrees) = h / 60
To solve for h, we can rearrange the equation:
h = tan(25 degrees) * 60
Using a scientific calculator, we can find the tangent of 25 degrees:
tan(25 degrees) ≈ 0.466
Now we can substitute this value back into the equation:
h ≈ (0.466) * 60
h ≈ 27.96
Therefore, the height of the observer is approximately 27.96 meters.
To find the height of the observer, we can use trigonometry and the given information.
We have a right triangle formed by the observer, the ground, and the line of sight from the observer to the object. The angle between the ground and the line of sight is 25 degrees, and the base of the triangle is 60 meters.
Using the tangent function, we can set up the following equation:
tan(25 degrees) = height/base
Now, we can solve for the height:
height = tan(25 degrees) * base
= tan(25 degrees) * 60 meters
To find the height, we need to use a calculator or a math tool that has the tangent function. Let me calculate it for you.
Using a calculator, we find that the tangent of 25 degrees is approximately 0.46631. Therefore, the height of the observer is:
height = 0.46631 * 60 meters
≈ 27.979 meters
So, the height of the observer is approximately 27.979 meters.