Question

solve for x. round to nearest hundredth. PLS HELP. WILL AWARD BRAINLIEST!

Answer 1

Answer:

$x$ = 63.43° to the nearest hundredth

Step-by-step explanation:

The three sides of a right-angled triangle have specific names:

• The hypotenuse (H) is the longest side. It is opposite the right angle.
• The opposite side (O) is opposite the angle in question.
• The adjacent side (A) is next to the angle in question.

The 3 trigonometric ratios are:

$sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}$

For the given triangle we are given the OPPOSITE side to the angle, the ADJACENT side to the angle, and need to find the angle.

Therefore, we would use the trig ratio:  $tan(\theta)=\frac{O}{A}$

Substituting the values from the triangle:  $tan(x)=\frac{24}{12}$

⇒  $tan(x)=2$

⇒  $x=tan^{-1}(2)$

⇒ $x=$ 63.43494882...

So $x$ = 63.43° to the nearest hundredth