Question

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

sin B

CB = , AD = 25, CD = 5, DB = 1
Question 2 options

0.9806

5

1.0198

0.1961

Answer 1

0.9806 is the correct answer.

Explanation:

Answer 2

The correct option is 1.

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=√(26)`

In a right angled triangle,

`\sin\theta=(opposite)/(hypotenuse)`

`\sin B=(CD)/(CB)`

`\sin B=(5)/(√(26))`

`\sin B=0.980580675691`

`\sin B\approx 0.9806`

Therefore the correct option is 1.