Question

A portion of a 60 m long tree is broken by a tornado and the top struck up the ground making an angle of 30° with the ground level. The height of the point where the tree is broken is equal to ____________.

Options

• 30 m

• 35 m

• 40 m

• 20 m

Answer 1

A portion of a 60 m long tree is broken by a tornado and the top struck up the ground making an angle of 30° with the ground level. The height of the point where the tree is broken is equal to 20 m.

Explanation:

Let AB be the tree which is broken at C.

`"BC"/"DC" = "sin"  30^circ`

`=> "x"/(60 - "x") = 1/2`

`=> 2"x" = 60 - "x"`

`=> "x" = 20  "m"`