A helicopter is ascending vertically. On the ground a searchlight is 125 m from the point where the helicopter lifted off the ground. It shines on the helicopter and the angle the beam makes with the ground is 48 degrees. How high is the helicopter at this point to the nearest metre

To find the height of the helicopter, we can use trigonometry.

Let h be the height of the helicopter above the ground.
Since the searchlight is 125 m away from the lift-off point, the distance from the searchlight to the helicopter is also 125 m.
The angle the beam makes with the ground is 48 degrees.

We can use the tangent function to find the height of the helicopter:

tan(48 degrees) = h / 125 m

h = tan(48 degrees) * 125 m
h ≈ 125 * 1.1106
h ≈ 138.825 m

Therefore, the height of the helicopter at this point is approximately 139 m.