For this task you need the following basic knowledge: Sine, Cosine and Tangent
Sketch
First thoughts
The triangle has a right angle at .
Therefore, the formulas for sin, cos and tan apply to it.
To know which of the formulas you should use, first determine,
which side is the hypotenuse in the triangle , and
which side is the adjacent cathetus to ,
and which one is the opposite cathetus to .
Determining hypotenuse, adjacent and opposite cathetus
Hypotenuse: side [AK] with
adjacent cathetus to : side [FA] with
opposite cathetus to : side [FK] with
The formulas for sin, cos and tan are:
Since the hypotenuse is not given, it should preferably not appear in the formula you use.
Solve the problem with the tangent.
Solution
Plug in the lengths from the task into this formula.
Now insert the numerical values for the lengths of the distances and calculate the tangent of the angle.
To obtain the angle , apply the inverse function with the calculator.
⇒ The sun's rays fall on the road at an angle of .