A man 23

A man standing on the deck of a ship, which is 10 m above the water level, observes the angle of elevation of the top of a hill as 60°, and angle of depression of the base of the hill is 30°. Find the distance of the hill from the ship and the height of the hill.

Correct answer:

x =  17.3205 m
h =  40 m

Step-by-step explanation:

s=10 m α=60  β=30   tan β = s:x  x=tanβs=tan30° s=tan30° 10=0.5773510=17.321=17.3205 m
tan α= y:x  y=x tanα=x tan60° =17.3205 tan60° =17.3205 1.732051=30  h=s+y=10+30=40 m



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