Question

A tree is brokenby wind, itsupper part touches the ground at a point 10 meters from the foot of the tree and makes an angle of 45 with the ground. The entire length of the tree is

• A. $15m$
• B. $20m$
• C. $10(1+$ $\sqrt{2}$) m
• D. $10(1+$ $\sqrt{3/2}$) m

Answer 1

The correct option is C $10(1+$ $\sqrt{2}$) m

AC = 10 = AB
BC = BC' = $\sqrt{({10}^2+{10}^2)}=10\sqrt{2}$
AC = AB + BC = 10 ($\sqrt{2}$ +1)