Question

please answer the question. if answer will be correct I will mark you as brainliest.and don't write if you don't know.​

Answer 1

Answer:

Step-by-step explanation:

Here, height of the tower =BC=x

AB=h,CD=y

∠CDB=α,∠CDA=β

∴tanα=BCCD

⇒tanα=xy

y=xtanα→(1)

Now, tanβ=ACCD

⇒tanβ=h+xy

⇒ytanβ=h+x

Putting value of y from (1),

⇒xtanαtanβ=h+x

⇒x(tanβtanα−1)=h

⇒x(tanβ−tanαtanα)=h

⇒x=htanαtanβ−tanα

So, height of tower is htanαtanβ−tanα.

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