Reflector

Circular reflector throws light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has with the axis of the tower angle 30°.

What is the maximum length of the illuminated horizontal plane?

Correct result:

x =  43.09 m

Solution:

$x=33\cdot (\tan (30^{\circ }+{\displaystyle \frac{49^{\circ }}{2}})-\tan (30^{\circ }-{\displaystyle \frac{49^{\circ }}{2}}))=43.09\text{ m}$

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