Question

Solve for x. Round your answer to 2 decimal places.

Answer 1

Here, two sides (x and 18) and the included angle (53 degrees) are given. The trig function that relates these 3 quantities is the sine:

sin 53 degrees = adj / hyp, or

sin 53 degrees = 18 / x.

Solving this equation for x, we get    x = 18 / (sin 53 degrees), or

x = 22.53 (answer)

Answer 2

Answer:

x = 30 units .

Step-by-step explanation:

Given : A right triangle with angle 53° and hypotenuse x and adjacent side 18.

To find : Solve for x .

Solution : We have given that a triangle

Angle  =   53°

Hypotenuse = x.

Adjacent side = 18.

By the trigonometric cosine ratio

cos ( theta) = $\frac{adjacent\ side}{hypotenuse}$.

cos (53) = $\frac{18}{hypotenuse}$.

0.6 = $\frac{18}{hypotenuse}$.

On multiplying both sides by hypotenuse and dividing by 0.6

Hypotenuse =   $\frac{18}{0.6}$.

Hypotenuse = 30 units.

Therefore,  x = 30 units .