Hello Friends Ashok asked Mohan ," What is height of your house? Mohan replied ,same to you house's height=30m.. Then Ashok asked Mohan how far is your house? Mohan said, My house is in straight line of the big tower and your house. Great! then the angle of elevation of tower is 45 ° and 30° from both houses. WHAT IS THE HEIGHT OF THE TOWER?
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Step-by-step explanation:
ANSWER
Let Height of Light House be h=AD
and ∠ABD=α(Given)
∠ACD=β(Given)
Now, BD=hcotα
CD=hcotβ
Given that, distance between B and C is a
a=BC=BD+CD=hcotα+hcotβ⇒a=h(cotα+cotβ)
⇒h=
cotα+cotβ
a
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