The top
of a hill observed from the top and bottom
of a building of height h is at angles of elevation
p and q respectively. The height of hill is
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The top
of a hill observed from the top and bottom
of a building of height h is at angles of elevation
p and q respectively. The height of hill is
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Step-by-step explanation:
Let AD=h is the height of the building and PB is height of the hill.
and tan q = (h+x)/y
and tan p = x/y
⇒ y= x cot p
Now, tan q = (h+x)/ (x cot p)
⇒x cot p = (h+x) cot q
⇒ x= (h cot q)/(cot p - cot q)
∴h + x = h +[(h cot q )/(cot p - cot q)] = [(h cot p )/(cot p - cot q)]