Solve for x. Round your answer to two decimal places. Show your work for full credit. (3 points) A right triangle is shown with the hypotenuse labeled x. One angle has a measure of thirty nine degrees, and the opposite leg has a length of nine.

Step-by-step explanation:

Given:

Right ∆ with,

Hypotenuse = x

Opposite = 9

Reference angle = 39°.

Required:

The value of x

Solution:

Since we are given a reference angle with opposite length, and we are to find the hypotenuse length, x, apply the following trigonometric ratios formula:

Plug in the values into the equation

Multiply both sides by x

Divide both sides by sin(39)

(to 2 decimal places)

b

step-by-step explanation:

10 - 8 = -2

  8 - 6 = -2

etc, so -2 is the common difference

step-by-step explanation: