Question

enter your answer to the nearest tenth x 9 12

Answer 1

Answer:

x = 36.9°

Given:

opposite side: 9

adjacent side: 12

angle: x

Using tane rule:

$\sf tan(x) = \dfrac{opposite}{adjacent}$

Solve:

$\sf tan(x) = \dfrac{9}{12}$

$\sf x = tan^{-1}(\dfrac{9}{12})$

$\sf x = 36.87$

$\sf x = 36.9$

Answer 2

$\qquad\qquad\huge\underline{{\sf Answer}}$

Let's solve ~

since the given triangle is an right angled triangle we can use Trigonometric ratios here :

$\qquad \sf  \dashrightarrow \: \tan(x) = \dfrac{9}{12}$

$\qquad \sf  \dashrightarrow \: \tan(x) = \dfrac{3}{4}$

$\qquad \sf  \dashrightarrow \: x= tan { }^{ - 1} \bigg( \dfrac{3}{4} \bigg)$

$\qquad \sf  \dashrightarrow \:x \approx37 \degree$