Question

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

Answer 1

Answer:

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Given :-

• The foot of the ladder is 4.6 m away from the wall.
• The angle of elevation of a ladder leaning against a wall is 60°.

To find :-

• The length of the ladder

Solution :-

Let AB represent the length of ladder.

So In right triangle ABC

$\large\bold\red{cos60 = \frac{AC}{AB} }$

$\large\bold\red{ \frac{1}{2} = \frac{4.6}{AB} }$

$\large\bold\red{AB = 9.2 \: m}$

$\large\bold\red{The \: length \: of \: the \: ladder \: is \: 9.2 \: m}$

$\huge \fcolorbox{black}{cyan}{Hope it helps U}$