Question

Look at the triangle.

What is the value of sin x°?
(A) 5 ÷ 13
(B) 12 ÷ 5
(C) 12 ÷ 13
(D) 5 ÷ 12

Answer 1

5/13 because it the right answer 

Answer 2

Answer:

option (c) is correct.

$\sin x=\dfrac{12}{13}$

Step-by-step explanation:

Given a triangle  with base 12 cm , perpendicular = 5 cm and hypotenuse = 13 cm

We have to find the value of sin x° and choose the correct option.

Lets first name the given triangle as ΔABC, as shown in figure below.

We know the value of trigonometric ratio sine is ,

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

Here, $\theta=x$

and for x to be angle, perpendicular is AB and hypotenuse is AC.

$\sin x=\dfrac{AB}{AC}$

Substitute the values, we get,

$\sin x=\dfrac{12}{13}$

Thus, option (c) is correct.