The angle of elevation of a ladder leaning against a wall is 60∘ and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

Let AB be the wall and BC be the ladder.Then, ∠ACB=60∘ and AC=4.6 m.BCAC=cos60∘=21⇒BC=2×AC=(2×4.6)m=9.2 m

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The angle of elevation of a ladder leaning against a wall is 6

Question

The angle of elevation of a ladder leaning against a wall is $6 0^{\circ}$ and the foot of the ladder is $4.6 m$ away from the wall. The length of the ladder is:

2.3 m

4.6 m

7.8 m

9.2 m

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James Discussed

The angle of elevation of a ladder leaning against a wall is

6 0^{\circ}

and the foot of the ladder is

4.6 m

away from the wall. The length of the ladder is:

15 mins ago

Discuss this question LIVE

15 mins ago

Let

A B

be the wall and

BC

be the ladder.
Then,

∠ A CB = 6 0^{\circ}

and

A C = 4.6 m

\frac{A C}{BC} = cos 6 0^{\circ} = \frac{1}{2}

\Rightarrow BC = 2 \times A C

= (2 \times 4.6) m

= 9.2 m

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Question Text	The angle of elevation of a ladder leaning against a wall is $6 0^{\circ}$ and the foot of the ladder is $4.6 m$ away from the wall. The length of the ladder is:
Answer Type	Text solution:1
Upvotes	150