Determine 8202

An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane.

Correct answer:

x =  70.4768 m

Step-by-step explanation:

h=75 m A=64  B=48   x1=h tanA=h tan64° =75 tan64° =75 2.050304=153.77279 m x2=h tanB=h tan48° =75 tan48° =75 1.110613=83.29594 m  x=x1x2=153.772883.2959=70.4768 m

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