High School

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------------------------------------------------ Determine the approximate value of θ

A. 38.7

B. 51.3

C. 36.9

D. 53.1

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Answer :

Answer:

[tex]\ta \theta =38.7^{0}[/tex] is the approximate value of angle Ф.

Step-by-step calculation:

To determine:

We have to determine the angle Ф.

Fetching Information and solution steps:

As two sides are given:

  • Opposite side of angle Ф = 4 units
  • Adjacent side of angle Ф = 5 units

The missing angle can be calculated by the formula

[tex]\tan \theta ={\frac {opposite }{adjacent}[/tex]

So,

[tex]\tan \theta ={\frac {4 }{5}[/tex]

[tex]\ta \theta =tan^{-1}( {\frac {4 }{5})[/tex]

[tex]\ta \theta =38.7^{0}[/tex]

So, [tex]\ta \theta =38.7^{0}[/tex] is the approximate value of angle Ф.

Keywords: angle Ф, tan Ф, opposite, adjacent

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