A man sees a helicopter in the air at an unknown height.The man is standing 28,7m from point directly below the helicopter and measures the angle of elevation to be 30 degree.Calculate the height of helicopter
I am assuming by 28,7 you mean 28.7.
This is a 90 degree triangle. You know the base to be 28.7 m. You need to find height which is the side directly opposite of the angle of elevation. Knowing the base value (which is adjacent to the angle of elevation), you can calculate the heigh of the helicopter using tan x = opposite / adjacent.
opposite = tan x (adjacent)
= tan 30 (28.7)
Plug this in your calculator and you have your answer.
To calculate the height of the helicopter, we can use trigonometry and the tangent function. The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
In this case, the adjacent side is the distance from the man to the point directly below the helicopter, which is 28.7m. The opposite side is the height of the helicopter, which is what we want to find.
Using the tangent function, we can set up the equation:
tan(30°) = height / 28.7m
To solve for the height, we can multiply both sides of the equation by 28.7m:
28.7m * tan(30°) = height
Now, we can calculate the height using a calculator:
height = 28.7m * tan(30°)
height ≈ 16.57m
Therefore, the height of the helicopter is approximately 16.57 meters.