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+1 vote
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in Trigonometry by (34.5k points)
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A ladder 19 m leaning to wall at 60° with the ground, the distance from foot to the wall is

A) 18 m 

B) 19 m 

C) 9 m 

D) 9.5 m

2 Answers

+1 vote
by (66.4k points)
selected by
 
Best answer

Correct option is: D) 9.5 m

In right  \(\triangle\)ABC,

\(\frac {AB}{AC}\) = cos A = cos \(60^\circ\) (\(\because\)  \(\angle\)CAB = \(60^\circ\))

\(\therefore\) AB = AC cos \(60^\circ\)

\(\frac {19}2\) (\(\because\) cos \(60^\circ\) = \(\frac {1}2\) & AC = 19 m)

= 9.5 m

Hence, the distance of foot of ladder from the foot of the wall is 9.5 m.

+2 votes
by (35.6k points)

Correct option is: D) 9.5 m

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