А Aladder of 20m. high ishigh is arrangedarranged stantly to reach (t

1.	А Aladder of 20m. high ishigh is arrangedarranged stantly to reach (touch the wall at a height of 10mfrom its foot find the angle betweenthe ladder and ground and also thedistance betweenthe foot of ladder andthefoot of the wall with process
Answer» Given:- ⠀⠀⠀◍ LENGTH of LADDER = 20m ⠀⠀⠀◍ Length of wall = 10m ⠀ To Find:- ⠀⠀⠀◍ Distance between the FOOT of ⠀⠀⠀⠀wall and foot of ladder. ⠀⠀⠀◍ ANGLE between the ladder ⠀⠀⠀⠀and ground ⠀ Let:- ⠀⠀⠀◍ Let ladder be = LA ⠀⠀⠀◍ Let wall be = AO ⠀⠀⠀◍ Let distance between their foot ⠀⠀⠀⠀= LO ⠀ Identity used:- ⠀⠀⠀◍ Sin Ø = $\dfrac{P}{H}$ ⠀⠀⠀◍ Tan Ø = $\dfrac{P}{B}$ ⠀⠀ ⠀ Solution:- ★ Angle between the ladder and ground ⠀⠀⠀✯ Sin Ø = $\dfrac{P}{H}$ ⠀⠀⠀✯ Sin Ø = $\dfrac{10}{20}$ ⠀⠀⠀✯ Sin 30° = $\dfrac{1}{2}$ ⠀⠀⠀✯ $\fbox{ Ø = 30°}$ ⠀ ★ Distance between their foot ⠀⠀⠀✯ Tan Ø = $\dfrac{P}{B}$ ⠀⠀⠀✯ Tan 30° = $\dfrac{P}{B}$ ⠀⠀⠀✯ $\dfrac{1}{√3}$ = $\dfrac{10}{LO}$ ⠀⠀⠀✯ LO = 10√3 ⠀⠀⠀✯ LO = 17.32 ⠀ ⠀ So, ⠀⠀⠀★ The angle between the ladder ⠀⠀⠀⠀and ground = 30° ⠀⠀⠀★ The distance between their foot ⠀⠀⠀⠀= 17.32

А Aladder of 20m. high ishigh is arrangedarranged stantly to reach (touch the wall at a height of 10mfrom its foot find the angle betweenthe ladder and ground and also thedistance betweenthe foot of ladder andthefoot of the wall with process

Answer»

Given:-

⠀⠀⠀◍ LENGTH of LADDER = 20m

⠀⠀⠀◍ Length of wall = 10m

⠀

To Find:-

⠀⠀⠀◍ Distance between the FOOT of

⠀⠀⠀⠀wall and foot of ladder.

⠀⠀⠀◍ ANGLE between the ladder

⠀⠀⠀⠀and ground

⠀

Let:-

⠀⠀⠀◍ Let ladder be = LA

⠀⠀⠀◍ Let wall be = AO

⠀⠀⠀◍ Let distance between their foot

⠀⠀⠀⠀= LO

⠀

Identity used:-

⠀⠀⠀◍ Sin Ø = $\dfrac{P}{H}$

⠀⠀⠀◍ Tan Ø = $\dfrac{P}{B}$

⠀⠀

⠀

Solution:-

★ Angle between the ladder and ground

⠀⠀⠀✯ Sin Ø = $\dfrac{P}{H}$

⠀⠀⠀✯ Sin Ø = $\dfrac{10}{20}$

⠀⠀⠀✯ Sin 30° = $\dfrac{1}{2}$

⠀⠀⠀✯ $\fbox{ Ø = 30°}$

⠀

★ Distance between their foot

⠀⠀⠀✯ Tan Ø = $\dfrac{P}{B}$

⠀⠀⠀✯ Tan 30° = $\dfrac{P}{B}$

⠀⠀⠀✯ $\dfrac{1}{√3}$ = $\dfrac{10}{LO}$

⠀⠀⠀✯ LO = 10√3

⠀⠀⠀✯ LO = 17.32

⠀

So,

⠀⠀⠀★ The angle between the ladder

⠀⠀⠀⠀and ground = 30°

⠀⠀⠀★ The distance between their foot

⠀⠀⠀⠀= 17.32