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What is the value of y?11.6 ft12.5 ft16.5 ft17.5 ft
5 months ago
Q:
What is the value of y?11.6 ft12.5 ft16.5 ft17.5 ft
Accepted Solution
A:
we know that
in the triangle BCD
cos C=8/14
C=arc cos (8/14)-----> C=55.15°
sin C=BD/14---------> BD=14*sin 55.15------> BD=11.49 ft
in the triangle ABC
180=∡A+∡B+∡C
∡A=180-(90+55.15)-----> ∡A=34.85°
tan A=BD/y-------> y=BD/tan A-----> y=11.49/tan 34.85----> y=16.50 ft
the answer is
y=16.50 ft