Question

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

Answer 1

Answer:

Option B. $51.1^o$

Step-by-step 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

$sin(\theta)=\frac{DF}{DE}$

substitute the given values

$sin(\theta)=\frac{7}{9}$

using a calculator

$\theta=sin^{-1}(\frac{7}{9})=51.1^o$