Onyx Onyx
  • 05-09-2024
  • Mathematics
High School

Determine the approximate value of θ.

A. 38.9

B. 51.1

C. 37.9

D. 52.1

Determine the approximate value of θ A 38 9 B 51 1 C 37 9 D 52 1

Answer :

calculista calculista
  • 03-03-2025

Answer:

Option B. [tex]51.1^o[/tex]

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

[tex]sin(\theta)=\frac{DF}{DE}[/tex]

substitute the given values

[tex]sin(\theta)=\frac{7}{9}[/tex]

using a calculator

[tex]\theta=sin^{-1}(\frac{7}{9})=51.1^o[/tex]

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