Mathematics Question and Solution
Notice.
10 m is the radius of the circle.
a = 10-3
a = 7 m.
sinb = (7/10)
b = asin(7/10)°
Calculating length AB.
tanb = 10/(AB)
AB = 10/(tanb)
AB = 10/tan(asin(7/10))
AB = 10.2020406122 m.
Or
7 ~ 3
10 ~ x
Cross Multiply.
7x = 30
x = ⅐(30) m.
x is length Be.
It implies;
y = 10+x
y = 10+⅐(30)
y = ⅐(100) m.
y is length Bc
Therefore;
z² +10² = (⅐(100))²
z² = (10000/49)-100
z² = (10000-4900)/49
z = √(5100/49)
z = ⅐(10√(51)) m.
z = 10.2020406122 m.
z is the required length AB.
