Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
(a) Area yellow exactly in decimal cm² is;
Area triangle with height 25.2274259042 cm and base 14.5sin(½atan(20/21)) cm
= ½*25.2274259042*14.5sin(½atan(20/21))
= 67.9269230771 cm²
(b) Let beta be y.
Therefore;
y = 90 - (atan(20/21) + ½(atan(20/21)))
y = ½(180 - (3atan(20/21)))°
y = 24.595771541°
It implies;
Tan(y) exactly in decimal is;
Tan(½(180 - (3atan(20/21))))
= Tan(24.595771541)
= 0.45774647887
