Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
7th October, 2023

Sir Mike Ambrose is the author of the question.

Let Alpha be x.

Calculating x;

½(180-atan2)-atan(0.5)

x = ½(90-atan(0.5))


It implies;

tan x exactly is;

= tan(½(90-atan(0.5)))


Calculating Area Orange.


Notice, Area Orange is an isosceles triangle with one of the two congruent sides 1.01857603 units.

It implies;


Area Orange exactly in decimal is;

Area triangle with height 1.01857603 units and base 1.01857603sin(atan2) units.


= ½*1.01857603*1.01857603sin(atan2)

= 0.46398282133 square units.

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