[tex]\bold{\huge{\blue{\underline{ Solution}}}}[/tex]
[tex]\bold{\underline{ We \: have \:given \: that, }}[/tex]
- Distance between the house and tower is 35 m
- The height of the tower is 60 m
- The height of the house is 25 m
[tex]\bold{\underline{ Now}}[/tex]
- Height of the house is 25m
[tex]\bold{\underline{ So, }}[/tex]
[tex]\sf{ CE = 25m }[/tex]
Therefore,
[tex]\sf{ AB = AD - CE }[/tex]
[tex]\sf{ AB = 60 - 25 }[/tex]
[tex]\sf{ AB = 35 m }[/tex]
Now, In Right angled ABC
[tex]\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}[/tex]
[tex]\bold{tan Φ =}{\bold{\frac{ 35}{35}}}[/tex]
[tex]\bold{ tan Φ = 1 }[/tex]
[tex]\bold{ tan Φ = 45 °}[/tex]
[tex]\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}[/tex]
