Find the length of the side labeled x. round intermediate values to the nearest tenth. use the rounded values to calculate the next value. round your final answer to the nearest tenth.
a. 69.4
b. 61.1
c. 57.9
d. 36.9

Step-by-step explanation:

Givens

Tan(60) = opposite / adjacent

adjacent = 26

Cos(39) = adjacent / hypotenuse

Solution

Tan(60) = opposite (which is the height) / 26            Multiply both sides by 26

26*tan(60) =  opposite                                                  Multiply the left.

tan60 = 1.732

26 * 1.732 = opposite

45.033

Cos(39) = adjacent / hypotenuse

cos(39) = 0.7771

0.7771 = 45.0333 / x              Multiply both sides by x

0.7771*x = 45.0333                Divide by 0.7771

x = 45.0333 / 0.7771

x = 57.94

option C

Step-by-step explanation:

We  have to find the value of x

We know that

Where

Height=45.032

Height=45.0

x=57.9

Hence, option C is true.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9