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b Exit Ticket COS 28 = C 12 tan 28 = b с 12 28 b Download image X

B Exit Ticket COS 28 C 12 Tan 28 B С 12 28 B Download Image X class=

Sagot :

Answer

b = 22.6 units

c = 25.6 units

Explanation

In a right angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

For this question,

Hypotenuse = c

Opposite = 12

Adjacent = b

Trignometric ratios can then be used to find b and c.

CAH and TOA

Cos 28° = (Adj/Hyp)

Cos 28° = (b/c)

Tan 28° = (Opp/Adj)

Tan 28° = (12/b)

Cross multiply

b = 12/(Tan 28°)

b = 12/0.5317

b = 22.57

We can then solve for c

Cos 28° = (b/c)

Cos 28° = (22.57/c)

Cross multiply

c = (22.57/Cos 28°)

c = (22.57/0.8829)

c = 25.56 units

Hope this Helps!!!

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