Respuesta :
Tan 28= 200/x
x=200/ tan 28
x=376.14
x=376
Step-by-step explanation:
Hope this helps!
The boat is x=376 foot away from the light house.
A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is 28°. The lighthouse is 200 feet tall.
What is trigonometry?
Trigonometry is defined as the study of angles.
Let the boat is x distance away from the lighthouse
assume a right-angle triangle ABC with AB =perpendicular=200, BC = base=X, Angle CAB = 28°(angle of depression means the angle from the boat to the top of lighthouse is also 28°)
tan28 = 200/X
X = 200/tan28
X = 376 foots
Thus, The boat is x=376 foot away from the lighthouse.
Learn more about trigonometry here:
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