Secondary SchoolMath 15+8 pts From the top of he tower hm high , the angles of depression of two objects, which are in the line with the foot of the tower are alpha and bita where bita is greater than alpha find the distance between the two object
bharat9291:
sir can you tell me rhe objects are in the same direction or opportsire
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let the height of the tower be hm and angles be alpha and beta
and the base be small and x+hm
Tan alpha=h/x+y
h=(x+y) tan alpha…---1
similarly
tan beta =h/x
h=x(tan beta)-----2
from 1and 2
tan betax=(xtanalpha+ytanalpha)
=(alpha/beta)+(ytanalpha/xtanbeta)
and the base be small and x+hm
Tan alpha=h/x+y
h=(x+y) tan alpha…---1
similarly
tan beta =h/x
h=x(tan beta)-----2
from 1and 2
tan betax=(xtanalpha+ytanalpha)
=(alpha/beta)+(ytanalpha/xtanbeta)
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