Find the value of the angle marked x in the diagram above...
Find the value of the angle marked x in the diagram above
A.
600
B.
450
C.
900
D.
300
Correct answer is A
PR2=PQ2+RQ2−2(PQ)(RQ)cosQ
⟹cosQ=PQ2+RQ2−PR22(PQ)(RQ)
⟹cosQ=82+52−722×8×5
⟹cosQ=64+25−4980
⟹cosQ=4080=0.5
⟹Q=cos−1(0.5)=600
∴
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