How far is the cliff from the sea level?
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Tan is the obvious way to go here, but just for variety you could use the Sine Rule too.
15sin50∘=dsin(180∘−90∘−50∘)
d=15×sin40∘sin50∘=12.58649447
h−15sin70∘=dsin(180∘−90∘−70∘)
h=12.58649447×sin70∘sin20∘+15=49.58110934
So The cliff is 49.58 feet high and 12.59 feet away.
Step-by-step explanation:
If d is the distance of cliff from the ship,
tan 70 = (h-15)/d and tan 50 =15/d
d = 15/ tan 50 = 12.59 ft.
h -15 = d tan 70 = 12.59 * 2.75 = 34.58 ft
h = 49 .6 ft
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