Question

The angle of elevation and depression of the top and bottom of a light house from top of a building 60 height are 30 & 60 drgee find distance b/w height of lighthouse &building and distance b/t light house and building

Answer 1

Hope it helps u.....
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Answer 2

Distance between building and watchtower = $20 \sqrt{3}\ m$  

Difference between height of building and the tower is 20 m.  

Solution:

Height of building = 60 m

Angle of elevation = 30 degrees  

Depression of height = 60 degrees

Height of building is denoted as AB and height of watchtower is denoted as DE.  

$\begin{array}{l}{\tan 60=\left(\frac{A B}{B E}\right)=\frac{60}{B E}} \\ \\{B E=\frac{60}{\sqrt{3}}=20 \sqrt{3} m}\end{array}$

Distance between building and watchtower = $\bold{20 \sqrt{3}\ m}$

To find difference in height of the buildings:

$\tan 30=\frac{h}{20 \sqrt{3}}\frac{1}{\sqrt{3}}=\frac{h}{20 \sqrt{3}}$

Height, h = 20 m  

Difference between height of building and the tower is 20 m.