Question

A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30°. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60°. Then the time taken (in minutes) by him, form B to reach the pillar, is:​

Answer 1

Answer:

R.E.F image 

let AB=x,QB=y,PQ=z

In △PAQ 

$tan30∘=x+y \div z</p><p>$

$⇒1 \div \sqrt{3} =z \div x + y</p><p>$

$⇒z=x+y \div \sqrt{3} </p><p>$

$In △PBQ \\ </p><p></p><p>tan60=y \div z </p><p></p><p>$

$⇒z= \sqrt{3y} </p><p>$

$∴x+y \div \sqrt{3} = \sqrt{ 3y} </p><p></p><p></p><p>$

$⇒x+y=3y \\ </p><p></p><p>⇒x=3y−y</p><p></p><p>$

$⇒x=2y⇒y=x \div 2</p><p>$

Answer 2

kindly refer the attachment dear