Question

Find the Sine of angle A
8/17
8/15
15/8
15/17

Answer 1

Given:

In triangle ABC, AB = 30, BC = 16, AC = 34 and measure of angle B is 90 degrees.

To find:

The value of Sine of angle A.

Solution:

In a right angle triangle,

$\sin\theta=\dfrac{Perpendicular}{Hypotenuse}$

In the given triangle ABC,

$\sin A=\dfrac{BC}{AC}$

$\sin A=\dfrac{16}{34}$

$\sin A=\dfrac{8}{27}$

Therefore, the correct option is A.