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In ΔBCD, the measure of ∠D=90°, DC = 16, CB = 65, and BD = 63. What ratio represents the cosine of ∠B?

Sagot :

Answer:

15:17

Step-by-step explanation:

Since the triangle has a right angle, we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where

SOA stands for

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

With respect to ∠B given that ∠D=90°,

BD is the adjacent side

CB is the hypotenuse side

and DC is the opposite side

Hence Sin B = 15/17

Answer:

63/65

Step-by-step explanat

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