Question

Question 4Given AQRS - AXYZ, what is the value of sin(Q)?R1512АB/ 를og을D

Answer 1

The triangles QRS is similar to triangle XYZ

From the property of similar triangles, The corresponding angles of similar triangles are equal.

So, angle Q = Angle X

SinQ = SinX

Recall the defination of sine of angle in right angle triangle.

`\sin \theta=(Perpendicular)/(Hypotenuse)`

For angle X, Perpendicular YZ = 9, hypotenuse XY = 15

`\begin{gathered} \sin X=(9)/(15) \\ \sin X=(3)/(5) \end{gathered}`

Since, sinX = sinQ

so, sinQ = 3/5

Answer: A) 3/5