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Anna11 [10]
3 years ago
13

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

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

\theta \:=43.76^{\circ \:\:}

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

cos\:\theta \:=\frac{13}{18}

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

   =43.76^{\circ \:}

Therefore, the missing angle is:

\theta \:=43.76^{\circ \:\:}

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