Step-by-step explanation:
Here,ladder is making a right triangle with the wall and ladder is acting as hypotenuse.
Angle of elevation formed between ladder and wall is 60°. Length of ladder is 6 m and we need to find the height (h) of the wall where ladder reaches.
[tex] \therefore \sin \: 60 \degree = \frac{h}{length \: of \: ladder} \\ \\ \therefore \frac{ \sqrt{3} }{2} = \frac{h}{6} \\ \\ \therefore h = \frac{ \sqrt{3} }{2} \times 6 \\ \\ \therefore h = \sqrt{3} \times 3 \\ \\ \therefore h = 3\sqrt{3} \\ \therefore h = 3 \times 1.732 \\ \therefore h =5.196 \\ \therefore h \approx \: 5.2 \: m[/tex]
Thus, ladder reaches upto a height of 5.2 m of the wall.
