Question

Geometry question (medals for best solution)

Answer 1

\(\large 1 = x(4-x)\)

\(\theta = \arctan (1/x)\)

Answer 2

ok you used mean proportional theorem
x/ 1 = 1 / (4-x)

Answer 3

im not sure about theta = arctan (1/x)

Answer 4

yes the geometric mean thingy :

altitude = geometric mean of segments of hypotenuse

Answer 5

oh ok , so that is just tan (theta )= 1 / x