Question

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

Answer 1

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:

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