Question

Using the measurements given in the figure, the value of $sin\theta$ = ___

• A. $\frac{12}{5}$
• B. $\frac{5}{12}$
• C. $\frac{5}{13}$
• D. $\frac{12}{13}$

Answer 1

The correct option is C

$\frac{5}{13}$

In $\Delta BDC,DC={13}^2-{12}^2$ (Pythagoras Theorem)

DC = 5

$sin\theta =\frac{DC}{BD}$

$=\frac{5}{13}$

Hence (C)