Question

A ladder makes an angle of 60° with tha horizontal and reaches upto the height of 5 meters on wall.find tha length of the ladder

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Length \: of \: ladder = \frac{10}{ \sqrt{3} } \: m}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

• In the given question information given about a ladder makes an angle of 60° with tha horizontal and reaches upto the height of 5 meters on wall.

• We have to find tha length of the ladder.

$\underline \bold{Given : } \\ \implies Angle \: of \: elevation = 60 \degree \\ \\ \implies Height \: of \: wall = 5 \: m \\ \\ \underline \bold{To \: Find : } \\ \implies Length \: of \: ladder = ?$

• According to given question :

$\bold{Using \: properties \: of \: height \: and \: distance : } \\ \implies sin \: 60 \degree = \frac{p}{h} \\ \\ \implies \frac{ \sqrt{3} }{2} = \frac{Height \: of \: wall}{Length \: of \: ladder} \\ \\ \implies \frac{ \sqrt{3} }{2} = \frac{5}{x} \\ \\ \implies \sqrt{3} x = 10 \\ \\ \bold{\implies x = \frac{10}{ \sqrt{3} } \: m} \\ \\ \bold{\therefore Length \: of \: ladder = \frac{10}{ \sqrt{3} } \: m}$

Answer 2

Answer:

$\bold{\therefore length \: of \: ladder = \frac{10}{ \sqrt{3} } \: m}$

Step-by-step explanation:

$\to sin \: 60 \degree = \frac{p}{h} \\ \\ \to \frac{ \sqrt{3} }{2} = \frac{5}{h} \\ \\ \to \sqrt{3} h = 10 \\ \\ \to h = \frac{10}{ \sqrt{3} } \: m \\ \\ \bold{\therefore length \: of \: ladder = \frac{10}{ \sqrt{3} } \: m}$