Krishna
0

Step 1: Analyse the given information and make a figure.

NOTE: The angle between the broken part and the ground = 30\degree

The distance between the foot of the tree and the broken part of the tree that touches the ground = 6 m

Step 2: Find the appropriate trigonometric formulas to calculate the unknown values.

NOTE: To find hypotenuse use \cos \theta = \frac{adjacent}{hypotenuse}

To find opposite side \cos \theta = \frac{opposite}{adjacent}

EXAMPLE:1)   \cos 30\degree = \frac{BC}{AC}

\cos 30\degree = \frac{6}{AC}

\frac{\sqrt{3}}{2} = \frac{6}{AC}

Hypotenuse (AC) = \frac{12}{\sqrt{3}}

2)     \tan 30\degree = \frac{AB}{BC}

\frac{1}{\sqrt{3}} = \frac{AB}{6}

AB = \frac{6}{\sqrt{3}}

Step 3: Determine the height of the tree.

Height of the tree = AB + AC (Opposite + hypotenuse)

=   (\frac{6}{\sqrt{3}} + \frac{12}{\sqrt{3}})

= (\frac{18}{\sqrt{3}})

= 6\sqrt{3} m