Mr banta is observing from the top of the lighthouse finds that boat A and boat B are approaching the light house from the opposite directions,he finds the angle of depression of boat A is 45 degree and the angle of depression of boat B is 30 degree. he also is aware of the height of the light house is 100m. 1Q)
Answers
Given : boat A and boat B are approaching the light house from the opposite directions,
angle of depression of boat A is 45 degree and the angle of depression of boat B is 30 degree
height of the light house is 100m
To Find : Distance between Boats
Solution:
Height of light House = 100 m
angle of depression of boat A is 45°
Angle of elevation = angle of depression
Tan 45° = 100 / Horizontal distance of Boat A
=> 1 = 100 / Horizontal distance of Boat A
=> Horizontal distance of Boat A = 100 m
angle of depression of boat B is 30°
Tan 30° = 100 / Horizontal distance of Boat B
=> 1/√3= 100 / Horizontal distance of Boat B
=> Horizontal distance of Boat B = 100√3 m
Distance between Boats = 100 + 100√3 m
Learn More:
the angle of elevation of a vertical Tower observed from the age of a ...
https://brainly.in/question/12120882
The angle of elevation of top of a minor and angle of depression of ...
https://brainly.in/question/13899214