Question #165430

From the top of a cliff, Tony Stark can see a boat on the ocean. The angle of depression is 41°. If Tony Stark uses his laser range finder and determines that the boat is 1.4 kilometers away, how high is the cliff?


1
Expert's answer
2021-02-24T14:21:18-0500

Solution.

Let hh be the height of the cliff, then

sin41°=h1.4,\sin{41°}=\frac{h}{1.4},

from here

h=1.4sin(41°)1.40.656==0.9184 kilometers=918.4 meters.h=1.4\sin(41°)\approx 1.4•0.656=\\=0.9184\text{ kilometers}= 918.4\text{ meters.} \newline

Answer. 0.9184 kilometers, or 918.4 meters.0.9184\text{ kilometers, or } 918.4\text{ meters.} \newline


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