Mathematics Question and Solution
a² = 6²+18²-2*6*18cos150
a = 23.3893455919 cm.
(23.3893455919/sin150) = (18/sinb)
b = 22.6307402124°
tan22.6307402124 = c/6
c = 2.5013366786 cm.
Area Red exactly in decimal is;
0.5*2.5013366786*18sin60
= 19.4959899641 cm²
Calculating Tanx.
d² = 6²+18²
d = 6√(10) cm.
d = 18.973665961 cm.
e² = 6²+2.5013366786²
e = 6.5005142243 cm.
f = 18-2.5013366786
f = 15.4986633214 cm.
15.4986633214² = 6.5005142243²+18.973665961²-2*6.5005142243*18.973665961cosg
240.2085647501 = 402.2566851799-246.6771709332cosg
246.6771709332cosg = 402.2566851799-240.2085647501
246.6771709332cosg = 162.0481204298
g = 48.9343109653°
h = 90-48.9343109653-22.6307402124
h = 18.4349488223°
j² = 6²+18.973665961²-2*6*18.973665961cos18.4349488223
j = 13.416407865 cm.
(13.416407865/sin18.4349488223) = (6/sink)
k = 8.1301023539°
Where k is x.
Therefore;
Tanx is;
tan(8.1301023539)
= 0.1428571429
It implies:
Area Red exactly in decimal is;
= 19.4959899641 cm²
Tanx is;
tan(8.1301023539)
= 0.1428571429
