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11 February, 11:37

In ΔBCD, the measure of ∠D=90°, BD = 8, CB = 17, and DC = 15. What ratio represents the sine of ∠B?

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  1. 11 February, 14:00
    0
    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
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