Question

Determine the approximate value of θ.
A. 38.9
B. 51.1
C. 37.9
D. 52.1

Answer 1

Option B.
`51.1^o`

Explanation:

we know that

In the right triangle of the figure

The sine of angle theta is equal to divide the opposite side to angle theta by the hypotenuse

so

`sin(\theta)=(DF)/(DE)`

substitute the given values

`sin(\theta)=(7)/(9)`

using a calculator

`\theta=sin^(-1)((7)/(9))=51.1^o`