<span>79.99/6.75%=5.399325 if you want the exact but 5.40 if you want rounded</span>
Cos(x) = BC/AB = 10.5/20 = 0.525 ⇒ x = 58.3°
Given parameters:
Length of the gift box = 8 inches
Width of the box = 3 inches
Height of the box = 4 inches
Unknown :
Length of its longest diagonal = ?
Solution:
This is a rectangular box.
To find the diagonal of such box, let us use the formula below;
Diagonal = 
l is the length
w is the width
h is the height
Input the parameters and solve;
Diagonal = 
= 9.4inches
The diagonal of the box is 9.4inches
Answer:
<u> The distance between opposite corners of the windowpane is 8.5 inches (rounding to the nearest tenth).</u>
Step-by-step explanation:
1. Let's use the Pythagorean Theorem to find the distance between opposite corners of the windowpane:
With the information given, we have a right triangle with the distance between opposite corners of the windowpane as the hypotenuse and its sides of 6 inches as the width and length of the windowpane and as sides of the right triangle.
Distance between opposite corners of the windowpane ² = Width of the windowpane ² + Length of the windowpane ²
Replacing with the real values:
Distance between opposite corners of the windowpane ² = 6² + 6²
Distance between opposite corners of the windowpane ² = 36 + 36
Distance between opposite corners of the windowpane ² = 72
√ Distance between opposite corners of the windowpane² = √72
<u> Distance between opposite corners of the windowpane = 8.5 inches (rounding to the nearest tenth)</u>
