Question

find x. round to nearest hundredth. PLS HELP. will award brainliest

Answer 1

Answer:

$x$ = 29.64 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 and the side that is OPPOSITE to the angle, and need to find the hypotenuse.

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

Substituting the values from the triangle:  $sin(35)=\frac{17}{x}$

Multiply both sides by $x$:  $xsin(35)=17$

Divide both sides by $sin(35)$:  $x=\frac{17}{sin(35)}$

Therefore, $x$ = 29.63859553...

So $x$ = 29.64 to the nearest hundredth