Q25 Please Q25) â ‹The angle of elevations of top of the first building from the top - Maths - Some Applications of Trigonometry

Question

Q25 Please

Q25)

â€‹The angle of elevations of top of the first
building from the top and bottom of the second building are 30
° and 45 ° respectively Find the ratio of the height
of second building to that of the first building

Varun Rawat · Accepted Answer

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Let AB be the first building and CD be the second building
Draw CL⊥AB
Now, ∠ACL = 30°  and  ∠ADB = 45°LC = BD   Opposite sides of parallelogram are equalLB = CD    Opposite sides of parallelogram are equalIn ∆ALC,tan 30° = ALLC⇒13 = ALLC   
1In ∆ABD,tan 45° = ABBD⇒1 = ABLC    as, LC = BD⇒LC = ABPut LC = AB in 1, we getALAB = 13⇒AB - LBAB = 13⇒AB - CDAB = 13⇒AB = 3AB - 3CD⇒3CD = 3 - 1AB⇒CDAB = 3 - 13

Q25. Please Q25) ​The angle of elevations of top of the first building from the top and bottom of the second building are 30 ° and 45 ° respectively. Find the ratio of the height of second building to that of the first building.

Q25. Please

Q25)

The angle of elevations of top of the first building from the top and bottom of the second building are 30 $°$ and 45 $°$ respectively. Find the ratio of the height of second building to that of the first building.