Answer:
41.802 feet
Step-by-step explanation:
Given that a 92 ft path cuts diagonally from Mateo St. to Cove St. It makes an angle of 68° with Cove St. and an angle of 34° with Mateo St.
We can visualize a triangle formed by the three streets One side is 92 feet.
Angle opposite 92 feet = 
Let x be length of Cove st and y length of Mateo st.
Using sine angle for triangles,
Simplify to get
x=52.595
y=87.207
Distance saved= 
To find this, you have to cut the figure into familiar shapes. In this case, you can cut it into two rectangles. When you cut it, there is a missing measurement, which is the length for the small rectangle. To find that, you subtract the other two lengths given, which is 8 and 6, and thats the length for the small rectangle. Then you do l•w for both shapes.
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39 ⇒x=39/2=19.5
x+y=24
-(x-y=15)
-------------------
2y=9 ⇒y=9/2=4.5
The numbers are 19.5 and 4.5
To check
19.5+4.5=24
19.5-4.5=15
There is a percent formula for all of these types of percent problems.
It is : is/of = %/100
224 is what % of 640
is = 224
of = 640
% = x
now just sub
224/640 = x/100
cross multiply because this is a proportion
(640)(x) = (224)(100)
640x = 22400
x = 22400/640
x = 35......so 224 is 35% of 640
