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Standard IX

Mathematics

Angle of Elevation

A ladder 20 m...

Question

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.

10 m,

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10 m,

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5 m,

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None of these

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Solution

The correct option is A
10 m,

Let x = AB = 10m, is the wall

AC is the ladder which is 2x of wall i.e. 20m

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 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.

Q. A ladder makes an angle of 60º with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is

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[CBSE 2014]

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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.

The correct option is A 10 m, Let x = AB = 10m, is the wall AC is the ladder which is 2x of wall i.e. 20m 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.

The correct option is A
10 m,

Let x = AB = 10m, is the wall

AC is the ladder which is 2x of wall i.e. 20m

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.