Question

If the angles of depression and elevation of the top of a tower of height h from the top and bottom of a second tower
are x and y respectively, then the height of the second tower is

Answer 1

Answer:

Step-by-step explanation:

C) h cotxcotx−coty

Description for Correct answer:

AB = tree 'h'

MD = Building 'l'

DB = CA = 'd'

In △MCA

tanx=MCAC=l−hd

⇒d=l−htanx⇒d=(l−h)cotx.......(i)

in △MDB

tany=MDDB=ld

d=l coty.......(ii)

from equation (i) and (ii)

(l−h)cotx=l coty

(l−h)cotx=l coty

l cotx−h cotx=l coty

h cotx=l(cotx−coty)

l=h cotxcotx−coty