Question

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

Answer 1

15/17

Explanation:

Find sinB

is SOH B = opposite / hypotenuse = 15/17

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Answer 2

15:17

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