SATHEE: Quantitative Aptitude Ques 1521

Quantitative Aptitude Ques 1521

Question: In a $ \Delta ABC, $ if $ \angle A=115{}^\circ , $ $ \angle C=20{}^\circ $ and D is a point on BC such that $ AD\bot BC $ and $ BD=7cm, $ then AD is of length

Options:

A) $ 15cm $

B) $ 5cm $

C) $ 7cm $

D) $ 10cm $

Show Answer

Answer:

Correct Answer: C

Solution:

(c) Given, $ \angle A=115{}^\circ $ $ \angle C=20{}^\circ $

$ \therefore $ $ \angle B=180{}^\circ -(115{}^\circ +20{}^\circ )=45{}^\circ $ [by angle sum property] Now, in $ \Delta ABD $ $ \frac{AD}{BD}=45{}^\circ $

$ \Rightarrow $ $ AD=BD=7cm $ $ [\because tan45{}^\circ =1] $

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Quantitative Aptitude Ques 1521

Question: In a $ \Delta ABC, $ if $ \angle A=115{}^\circ , $ $ \angle C=20{}^\circ $ and D is a point on BC such that $ AD\bot BC $ and $ BD=7cm, $ then AD is of length

Options:

Answer:

Solution:

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