The angle of depression from the top of a building of height 41metres of the stationary car is 52 degree.find the distance between the car and the top of the building.
sorry you want hyp
cos 52 = adj/hyp
SOLVEING
Please I don't understand this maths oooo
To find the distance between the car and the top of the building, we can use trigonometry and tangent function.
First, let's define the variables:
- Height of the building: h = 41 meters
- Angle of depression: θ = 52 degrees
In this case, the angle of depression is the angle formed by a line from the top of the building to the car and a horizontal line. The angle of depression is always measured downwards from the horizontal line.
Now, let's use the tangent function:
tangent(θ) = Opposite / Adjacent
In this case, the opposite side is the height of the building (h) and the adjacent side is the distance between the car and the top of the building (d).
So, we have:
tangent(52 degrees) = 41 meters / d
To find the distance (d), we rearrange the equation:
d = 41 meters / tangent(52 degrees)
Now, let's calculate the distance:
Using a scientific calculator or an online calculator, you can find the tangent of 52 degrees by entering "tan(52 degrees)" or "tan(52)".
Let's assume the tangent of 52 degrees is 1.2799 (rounded to four decimal places).
d = 41 meters / 1.2799
d ≈ 31.99 meters
Therefore, the distance between the car and the top of the building is approximately 31.99 meters.
adjacent = 41m
you want side opposite
tan52 = opposite/adjacent
draw the picture...
d = h / tan(52º)