Question

find value of x. ROUND TO NEAREST HUNDREDTH. PLS HELP. WILL AWARD BRAINLIEST

Answer 1

Answer:

$x$ = 24.57 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 angle, the hypotenuse, and need to find the side that is ADJACENT to the angle.

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

Substituting the values from the triangle:  $cos(35)=\frac{x}{30}$

Multiply both sides by 30:  $30cos(35)=x$

Therefore, $x=24.57456133...$

So $x$ = 24.57 to the nearest hundredth