Question

A ladder 10 m long reaches a point of wall which is 10m below from the top of the wall.the angel of depression of the foot of the ladder as observed from the top of the wall is 60 degree.find the height of the wall

Answer 1

the height of the wall is 27.321 M

Answer 2

Height of wall is 16.66 m

Step-by-step explanation:

Length of ladder = BD = 10 m

A ladder  reaches a point of wall which is 10m below from the top of the wall i.e. AB = 10 m

The angel of depression of the foot of the ladder as observed from the top of the wall is 60 degree

In ΔBCD

$Sin \theta = \frac{Perpendicular}{Hypotenuse}\\Sin 60^{\circ}=\frac{BC}{BD}\\\frac{\sqrt{3}}{2}=\frac{BC}{10}\\5\sqrt{3}=BC$

Height of wall = AB +BC = 10 +5√3 = 18.66 m

Hence height of wall is 16.66 m

#Learn more :

A ladder 10m long was rested along a wall such that its top reaches to a height 8m from the ground along the wall how far is the foot of the ladder from the wall

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