Faith stands in her backyard and watches her children play. Nadia is 60 feet away in the sandbox.
Faith turns 130° and views Jolene on the swing set. Jolene is 115 feet away.
How far apart are Nadia and Jolene?
Enter your answer, rounded to the nearest tenth of a foot, in the box.

Nadia and Jolene are 160.3 feet apart.

Step-by-step explanation: Please refer to the picture attached for more details.

Based on the information provided, the diagram has been sketched to show Faith standing at point F, and Nadia is 60 feet away at point N. Faith now turns and forms an angle measuring 130 degrees to look at Jolene who is 115 feet away from Faith. The distance between Nadia and Jolene which is line NJ is yet unknown.

What we now have is an obtuse angled triangle with one angle and two sides given. We shall solve for the unknown side using the cosine rule as follows;

a² = b² + c² - 2bcCosA

Substituting for the values of a, b and c as x, 60 and 115, the formula now becomes;

x² = 60² + 115² - 2(60)(115)(Cos 130)

x² = 3600 + 13225 - 13800(-0.6428)

x² = 16825 + 8870.64

(Note that when two negative values multiply each other the answer is positive, that is -13800 x -0.6428 = 8870.64)

x² = 25695.64

Add the square root sign to both sides of the equation

√x² = √25695.64

x = 160.298596

x ≈ 160.3 feet (rounded to the nearest tenth of a foot)

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)