In , m = 45 ° and OA = 6 cm. Find .
A)1.5 cm
B)3 cm
C)6 cm
D)12 cm

Question

In  , m  = 45 ° and OA = 6 cm. Find  .
A)1.5 cm 
B)3 cm 
C)6 cm 
D)12 cm

Quizplus · Accepted Answer

Using trigonometry, we can solve for the length of AB:
tan(45°) = AB/OA
AB = OA*tan(45°) = 6 cm*1 = 6 cm
Then, using the Pythagorean theorem, we can solve for the length of BC:
BC^2 = AB^2 + AC^2
BC^2 = 6^2 + 6^2
BC^2 = 72
BC = sqrt(72) = 6sqrt(2) cm
Finally, using the Pythagorean theorem again, we can solve for the length of CD:
CD^2 = BC^2 + BD^2
CD^2 = (6sqrt(2))^2 + BD^2
CD^2 = 72 + BD^2
BD^2 = CD^2 - 72
BD^2 = (1.5)^2
BD = 1.5 cm
Therefore, the length of BD is 1.5 cm, so the answer is (A).

In , M = 45 ° and OA