A ladder is placed against a vertical wall such that it makes an angle of 60° with the ground.
A ladder is placed against a vertical wall such that it makes an angle of 60° with the ground. If the foot of the ladder is 8.5 m away from the wall, then What is the height (in meters) at which the ladder touches the wall?
(Use $\sqrt{3}= 1.7$ )
एक सीढ़ी को एक ऊर्ध्वाधर दीवार के सहारे इस प्रकार रखा गया है कि यह भूमि के साथ 60° का कोण बनाती है। यदि सीढ़ी का पाद दीवार से 8.5 m दूर है, तो वह ऊँचाई (m में) कितनी होगी जहाँ पर सीढ़ी दीवार को स्पर्श करती है?
($\sqrt{3}= 1.7$ का उपयोग कीजिए)
Detailed Solution & Logic
14.45
Step 1: Use trigonometry.
If the ladder makes an angle of 60° with the ground, then the height $h$ it reaches on the wall is:
$h = 8.5 \cdot \tan 60^\circ$
Step 2: Substitute $\tan 60^\circ = \sqrt{3} = 1.7$
$h = 8.5 \cdot 1.7$
Step 3: Multiply:
$8.5 \cdot 1.7 = 14.45$
So, the ladder touches the wall at a height of 14.45 m.
Answer: 14.45
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