A ladder 20 m long is placed against a vertical wall of height 10 metres. Find the distance between the foot of the ladder and the wall and also the inclination of the ladder with the ground.

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Solution

AB = 10m, is the wall

AC is the ladder 20m tall

sin c = $\frac{A B}{A C}$ = $\frac{1}{2}$

C = 30 $^{\circ}$

Hence the ladder is inclined 30 $^{\circ}$ to the ground

Distance between foot of the ladder and wall = BC = 10 $\sqrt{3}$ m

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A ladder 20 m long is placed against a vertical wall of height 10 metres. Find the distance between the foot of the ladder and the wall and also the inclination of the ladder with the ground.

AB = 10m, is the wall AC is the ladder 20m tall sin c = ABAC = 12 C = 30∘ Hence the ladder is inclined 30∘ to the ground Distance between foot of the ladder and wall = BC = 10√3 m

AB = 10m, is the wall

AC is the ladder 20m tall

sin c = $\frac{A B}{A C}$ = $\frac{1}{2}$

C = 30 $^{\circ}$

Hence the ladder is inclined 30 $^{\circ}$ to the ground

Distance between foot of the ladder and wall = BC = 10 $\sqrt{3}$ m