Solve for x. Round your answer to 2 decimal places.
Trigonometry is a branch of mathematics that deals with the ratios of the sides of a right-angled triangle.
Answer: The value of x rounded off to two decimal places is equal to 37.74
Let's look into the steps below.
Explanation:
We know that for a given acute angle in a right triangle sine of the angle is represented as,
sin x = Opposite side / Hypotenuse
Thus, from the given diagram,
sin 32º = 20 / x -------------- (1)
We can calculate the value of sin 32º using Cuemath's Online Sine Calculator
Thus, the value of sin 32º = 0.53
Substituting this in equation (1) we get,
0.53 = 20 / x
⇒ x = 20 / 0.53
⇒ 37.73584...
Rounding 37.73584... to two decimal places we get 37.74