isabeltovar2004 isabeltovar2004
  • 27-11-2020
  • Mathematics
contestada

Solve for the missing angle. Round to the nearest hundredth.
18
?
13
? =
degrees

Solve for the missing angle Round to the nearest hundredth 18 13 degrees class=

Respuesta :

absor201
absor201 absor201
  • 27-11-2020

Answer:

[tex]\theta \:=43.76^{\circ \:\:}[/tex]

Step-by-step explanation:

The right triangle has the hypotenuse = 18

Let 'Ф' be the missing angle

we know that

cos Ф = adjacent/hypotenuse

Here,

  • The adjacent to Ф = 13
  • The hypotenuse = 18

so

cos Ф = adjacent/hypotenuse

[tex]cos\:\theta \:=\frac{13}{18}[/tex]

[tex]\theta \:=\cos ^{-1}\left(\frac{13}{18}\right)[/tex]

   [tex]=43.76^{\circ \:}[/tex]

Therefore, the missing angle is:

[tex]\theta \:=43.76^{\circ \:\:}[/tex]

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