jee-main 2021 Q69

jee-main · India · session4_31aug_shift1 Sine and Cosine Rules Heights and distances / angle of elevation problem
A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a point on the ground 18 m away from the base of the pole, then the height of the pole (in meters) is :
(1) $8 \sqrt { 10 }$
(2) $6 \sqrt { 10 }$
(3) $12 \sqrt { 10 }$
(4) $12 \sqrt { 15 }$ 
A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a point on the ground 18 m away from the base of the pole, then the height of the pole (in meters) is :\\
(1) $8 \sqrt { 10 }$\\
(2) $6 \sqrt { 10 }$\\
(3) $12 \sqrt { 10 }$\\
(4) $12 \sqrt { 15 }$
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