Respuesta :

cosmickid287

Answer:

D, 342 meters

Step-by-step explanation:

We can use the definition of sines to solve the problem. Remember, sine = opposite leg over the hypotenuse of the triangle.

[tex]sin(<Q)= \frac{RS}{QR} \\[/tex]

Then, we can substitute QR for 1,000 and [tex]<Q[/tex] for 20 degrees and solve like so:

[tex]sin(20) = \frac{RS}{1,000}[/tex]

[tex]RS = 1000 (sin(20))\\\ RS = 1000(0.342)\\\\RS= 342.0201[/tex]

Rounding that number, we get 342 meters. Hope this made sense!

Answer: D. 342 m

Step-by-step explanation:

The given triangle is a right angle triangle since angle S is 90°.

From the given right angle triangle,

QR represents the hypotenuse of the right angle triangle.

With m∠Q as the reference angle,

QS represents the adjacent side of the right angle triangle.

RS represents the opposite side of the right angle triangle.

To determine RS, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 20 = RS/1000

RS = 1000Sin20 = 1000 × 0.342

RS = 342 m