Question

A portion of a 30 m long tree is broken by a tornado and the top strikes the ground making an angle of 30º with the ground level. The height of the point where the tree is broken is equal to

• A. 10 m
• B. \(\frac{30}{√3}\) m
• C. 30√3 m
• D. 60 m

Answer 1

The Correct Option is A

Take the height of the point from the ground be h metres.
The hypotenuse formed = 30 - h
In right angled triangle,
sin 30 = \(\frac{perpendicular}{hypotenuse}\) = \(\frac{h}{h-30}\) 
\(\frac{1}{2}\) = \(\frac{h}{h-30}\)
After solving the above equation, we get
h = 10 m

The correct option is (A)