Question

Solve for x. Round your answer to two decimal places. Show your work for full credit.

Answer 1

Answer:

The value for x =  37.80.

Step-by-step explanation:

Here, the given triangle is a right angled triangle.

Also, Ф  = 32°

Now, using Trigonometric Function:

$\sin \theta = \frac{Perpendicular}{Hypotenuse}$

⇒$Sin (32) = \frac{20}{x} \impliesx = \frac{20}{Sin(32)}$

Also, using the trigonometric table,

Sin (32°) =  0.529

⇒ x =  20 / 0.529 =  37.80

Hence, the value for x =  37.80.