Question

Use your calculator to find the angle theta in degrees rounded to onedecimal place.

Answer 1

Given the diagram we can use the trigonometric identity sine:

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

Where:

opposite = 45

hypotenuse = 51

Substitute the values we have:

`\sin\theta=(45)/(51)=(15)/(17)`

Then solve for theta:

`\theta=\sin^(-1)((15)/(17))=61.9`

Answer: theta = 61.9°