Please explain in words and by solving the following sum: A man on a cliff observes a boat at an angle of depression 30 degrees which is sailing directly to the point beneath him. Three minutes later, the angle of depression of the boat is found to be at 60 degrees . Assuming the boat to have uniform speed find the following 1) how much more time will it take to reach the shore ; 2) the speed of the boat in master per second if the height of the cliff is 500 m. PS please answer fast my maths exams are tomorrow.

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Solution

Given height of Cliff = 500 m
And From above solution , h=y√3
And also given y= 3x,
=> h= 3x√3
=> 500 = 3√3x
x = 96.33 m/s

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Q. A man on a cliff observes a boat at an angle of depression

30^{\circ}

which is sailing towards the shore to the point immediately beneath him. Three minutes later the angle of depression of the boat is found to be

60^{\circ}

.
Assuming that the boat sails at a uniform speed, determine how much more time it will take to reach the shore.

A man on a cliff observes a boat, at an angle of depression $30^{\circ}$ , which is sailing towards the shore to the point immediately beneath him. Three minutes later, the angle of depression of the boat is found to be $60^{\circ}$ . Assuming that the boat sails at a uniform speed, determine :

(i) how much more time it will take to reach the shore ?

(ii) the speed of the boat in metre per second, if the height of the cliff is 500 m.

Q. A man on a cliff observes a boat at an angle of depression