the height of. a light house is 85 m. an observer on it found the angle of depression ti a boat to be 30° , which was sailing towards the light houes. after 2 minutes, the angle of depression for the same boat was 60° what was the speed of the boat in km/hr ?(√3=17)
Answers
The speed of the boat is 1.24 km/h
Step-by-step explanation:
Since,
tan(60°) = 85 / y
√3 = 85 / y
y = 85 / √3 m
tan (30°) = 85 / x + y
1 / √3 = 85 / x + y
x + y = 85 √3
x + y = 85 √3 - 85 /√3
= 255 - 85 / √3
x = 170 / √3 m
Distance occurred in 22 minutes x = 170 / √3 m
Distance occurred in 1 minutes x = 170 / 2√3 m / min
= 170 x 60 / 1000 x √3 x 2 km/h
= 1.24 km/h
Hence the speed of the boat is 1.24 km/h
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Answer:
The speed of the boat is 1.24 km/h
Step-by-step explanation:
Since,
tan(60°) = 85 / y
√3 = 85 / y
y = 85 / √3 m
tan (30°) = 85 / x + y
1 / √3 = 85 / x + y
x + y = 85 √3
x + y = 85 √3 - 85 /√3
= 255 - 85 / √3
x = 170 / √3 m
Distance occurred in 22 minutes x = 170 / √3 m
Distance occurred in 1 minutes x = 170 / 2√3 m / min
= 170 x 60 / 1000 x √3 x 2 km/h
= 1.24 km/h
Hence the speed of the boat is 1.24 km/h
Step-by-step explanation:
Hope this answer will help you.✌️