Answer:
150.12
Step-by-step explanation:
From the observation deck of a lighthouse 70 meters above sea level, the lighthouse keeper can see a fishing boat at a 25 degree angle of depression.What is the horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat?
We solve the above question using the Trigonometric function of tan
tan y = Opposite /Adjacent
y = 25°
Opposite = 70m
Adjacent = x = Horizontal distance
Therefore:
tan 25 = 70m/x
tan 25 × x = 70m
x = 70m/tan 25
x = 150.11548444m
Approximately = 150.12m
The horizontal distance, to the nearest meter, from the base of the lighthouse to the fishing boat is 150.12m
