Two boats

Two boats are located from a height of 150m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface.

Correct answer:

x =  87.8234 m

Step-by-step explanation:

h=150 m α=57  β=39   tan α = h:x1 tan β = h:x2  x1=h/tanα=h/tan57° =150/tan57° =150/1.539865=97.41114 m x2=h/tanβ=h/tan39° =150/tan39° =150/0.809784=185.23457 m  α > β , x2>x1 x=x1x2=97.4111185.2346=87.8234 m

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