The length of the wire is 37.15 ft
<u>Explanation:</u>
The figure is attached for the reference.
tan (71) = 
tan (36) = 
So,
tan(36) (36 + x) = y
tan(71) = 

Substituting x = 12.11 ft in equation 1:

Length of the wire, z = 
So,

Therefore, the length of the wire is 37.15 ft
That would not be right because 4 times 3 equals 12 and -6 times 3 equals -18.
For 30 60 90 triangles, the ratio of the side lengths is

where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)
so the ratio of the longer leg to the hypotenuse is <span>

or
</span>

<span>which equals </span>
Answer:
a) 1.8 
b) 3.6 
Step-by-step explanation:
Conversion and calculation of areas
The area of a rectangle is A=wh, where w is the width and h is the height. There are 3 feet in one yard
a)
We are told Kalie put 6 stickers, each one of 1/2 centimeters (0.5 cm) wide by 3/5 (0.6 cm) centimeter long. The area of one sticker is
A=(0.5)(0.6)=0.3 
Assuming there is no overlapping, the 6 stickers have a total area
6*0.3
=1.8 
b)
Each of Elana's wrapping papers measures 2/5 yards long and 1/4 yard wide. Converting them to feet we have
long=2/5*3=1.2 feet
wide=1/4*3=0.75 feet
Area of each paper=1.2 feet*0.75 feet=0.9 
Area of the entire board, assuming no overlapping and no space left uncovered=4*0.9 
Area of board=3.6 