# A man standing on the deck of a ship is 12 m above water level.He observes that the angle of elevation of the top of a cliff is 45 degree and the angle of depression of the base of the cliff is 30 degree.calculate the distance of the cliff from the ship and the height of the cliff.(take ?3=1.732)

$In\; figure\; AC=ED=x \;and AE=CD=12\;m\\*height\;of\;cliff=BC+CD=y+z\\* Now, \;in\; \triangle ABC,\\* \tan 45^{\circ}=\frac{y}{x}=1\Rightarrow y=x\\* In\; \triangle ACD,\\* \tan 30^{\circ}=\frac{z}{x}=\frac{1}{\sqrt{3}}\Rightarrow x=\sqrt{3}z\\* Height\;of\;the\; cliff=y+z=x+\sqrt{3}x=(1+\sqrt{3})x\\* x=\sqrt{3}z=\sqrt{3}\times 12=20.784\;m\\* Height\;of\;the\; cliff=(1+\sqrt{3})\times 20.784=20.784\times 2.732\\* \Rightarrow Height\;of\;the\;cliff\;is\; 22.516\;m \;and \;distance\;of\;ship\;from\;cliff\;is\;x=20.784\;m$

## Most Viewed Questions

### Preparation Products

##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
##### Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-