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Afina-wow [57]
3 years ago
10

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

Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

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

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