Question

Use the figure to find the trigonometric ratio below. Express the answer as a decimal rounded to the nearest ten-thousandth.

Answer 1

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: AD = 25, CD = 5, DB = 1 and CD⊥AB.

According to the Pythagoras theorem,

$hypotenuse^2=base^2+perpendicular^2$

In triangle BCD,

$CB^2=DB^2+CD^2$

$CB^2=1^2+5^2$

$CB^2=26$

Taking square root both sides.

$CB=\sqrt{26}$

In a right angled triangle,

$\sin\theta=\frac{opposite}{hypotenuse}$

$\sin B=\frac{CD}{CB}$

$\sin B=\frac{5}{\sqrt{26}}$

$\sin B=0.980580675691$

$\sin B\approx 0.9806$

Therefore the correct option is 1.

Answer 2

Answer:

0.9806 is the correct answer.

Step-by-step explanation: