Question

solve for x. round to nearest hundredth. PLS HELP. will award brainliest

Answer 1

Answer:

$x$ = 6.34  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 OPPOSITE to the angle.

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

Substituting the values from the triangle:  $sin(25)=\frac{x}{15}$

Multiply both sides by 15:  $15sin(25)=x$

Therefore, $x$ = 6.339273926...

So $x$ = 6.34 to the nearest hundredth