Question

Determine the value of 0.
69.1°
19.7°
20.9°
0.006⁰
5
14

Answer 1

20.9°

Explanation:

5 = sin(theta)×14

sin(theta) = 5/14 = 0.357142857...

theta = 20.92483243...° ≈ 20.9°

Answer 2

The value of angle θ is 20.9°

What is the value of the unknown angle.

The value of the unknown angle θ can be estimated my using the trigonometry function. Since we have two known sides, we can use the trigonometry function SOH CAH TOA to find the ratio of the two sides, then equate it to the inverse of the angle.

Given that:

• Hypotenuse = 14
• Adjacent = 5

The trigonometry relation for Opposite and Hypotenuse is SOH i.e.

`sin \ \theta = (opp)/(hyp)`

`sin \ \theta = (5)/(14)`

`\ \theta = sin ^(-1)((5)/(14))`

`\ \theta = 20.9^0`

Therefore, the value of angle θ is 20.9°.