A man on a cliff observes a boat at an angle of depression of 30°

27. A man on a cliff observes a boat at an angle of depression 3 0 ∘, which is sailing towards the point of the shore immediately beneath him. Three minutes later, the angle of depression of the boat is found to be 6 0 ∘. Assuming that the boat sails at a uniform speed, determine how much more time it will take to reach the shore. Views: 5,732 cot θ = 4/3 and π < θ < 3 π /4 then find the value of 4 cosec θ + 5 cos θ (5) Find the polar co-ordinates of points whose Cartesian co-ordinates are : ( 1 , 3 ​ ) (6) If tan θ = 7 ​ 1 ​ , then evaluate : cosec 2 θ + s e c 2 θ cosec 2 θ − s e c 2 θ ​ (7) Eliminate θ from : x = 5 + 6 cosec θ , y = 3 + 8 cot θ LA [ 4 marks]1)The measure of the angle of a triangle are in A.P and the smallest angle is angle in degree and radian. 2) If 2 sin A = 1 = 2 ​ cos B and π /2 < A < π , 3 π /2 < B < 2 π, then find the value of c o s A − c o s B t a n A + t a n B ​ Views: 5,496 A , B , C are angles in a triangle, then prove that (i) sin 2 A + sin 2 B − sin 2 C = 2 sin A sin B cos C. (ii) cos 2 A + cos 2 B − cos 2 C = 1 − 2 sin A sin B cos C. 4. If A + B + C = π, then prove that (i) cos 2 2 A ​ + cos 2 2 B ​ + cos 2 2 C ​ = 2 ( 1 + sin 2 A ​ sin 2 B ​ sin 2 C ​ ). (ii) cos 2 2 A ​ + cos 2 2 B ​ − cos 2 2 C ​ = 2 cos 2 A ​ cos 2 B ​ sin 2 C ​ . 5. In triangle ABC, prove that 27. A man on a cliff observes a boat at an angle of depression 3 0 ∘, which is sailing towards the point of the shore immediately beneath him. Three minutes later, the angle of de...

A man on a cliff observes a boat at an angle of depression of 30^∘ which is approaching the shore to the point immediately beneath the observer with a uniform speed. Six minutes later the angle of depression of the boat is found to be 60^∘. Find the total time taken by the boat from the initial point to reach the shore. A man on a cliff observes a boat at an angle of depression of 3 0 ∘ which is approaching the shore to the point immediately beneath the observer with a uniform speed. Six minutes later the angle of depression of the boat is found to be 6 0 ∘ . Find the total time taken by the boat from the initial point to reach the shore. A man on a cliff observes a boat at an angle of depression 3 0 ∘, which is sailing towards the point of the shore immediately beneath him . Three minutes later the angle of depression of the boat is found to be 6 0 ∘. Assuming that the boat sails at a uniform speed, time it will take to reach the shore is 1 minute and 30 seconds If true then enter 1 and if false then enter 0 A man on a cliff observes a boat at an angle of depression 3 0 o which is sailing towards the shore to the point immediately beneath him. 3 minutes later the angle of depression of the boat is found to be 6 0 o. Assuming that the boat sails at a uniform speed, the time taken by the boat to reach the shore is: A man on a cliff observes a boat at an angle of depression of 3 0 o which is approaching the shore to the point immediately beneath the observer with a uniform s...

A man on a cliff observes a boat at an angle of depression of 30 °which is approaching the ihore to the point immediately beneath the observer w-ith a uniform speed. Six minutes later, the angle of depression of the boat is found to be 60 °. (i) Find the time taken by the boat to reach the shore. (ii) Which mathematical concept is used in the above problem ? (iii) What is its value ? Categories • • (31.9k) • (8.8k) • (764k) • (248k) • (10.0k) • (5.6k) • (36.4k) • (7.5k) • (10.7k) • (11.8k) • (11.2k) • (6.8k) • (4.9k) • (5.3k) • (2.8k) • (19.9k) • (959) • (2.9k) • (5.2k) • (664) • (121k) • (72.1k) • (3.8k) • (19.6k) • (1.4k) • (14.2k) • (12.5k) • (9.3k) • (7.7k) • (3.9k) • (6.7k) • (63.8k) • (26.6k) • (23.7k) • (14.6k) • (25.7k) • (530) • (84) • (766) • (49.1k) • (63.8k) • (1.8k) • (59.3k) • (24.5k)

A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A, with uniform speed. At that point, angle of depression of the boat with the man's eye is 30∘ Ignore man's height. After sailing for 20 seconds, towards the base of the tower which is at the level of water, the boat has reached a point B, where the angle of depression is 45∘. Then the time taken in seconds by the boat from B to reach the base of the tower is :A. 10√3 1B. 10 √3C. 10D. 10√3+1 A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A , with uniform speed. At that point, angle of depression of the boat with the man’s eye is 30 ∘ (Ignore man’s height ). After sailing for 20 seconds, towards the base of the tower (which is at the level of water ), the boat has reached a point B, where the angle of depression is 45 ∘. Then the time taken (in seconds ) by the boat from B to reach the base of the tower is : Q. A man is observing, from the top of a tower, a boat speeding towards the tower from a certain point A , with uniform speed. At that point, angle of depression of the boat with the man’s eye is 30 ∘ (Ignore man’s height ). After sailing for 20 seconds, towards the base of the tower (which is at the level of water ), the boat has reached a point B, where the angle of depression is 45 ∘. Then the time taken (in seconds ) by the boat from B to reach the base of the tower is : Q. A man is watching from ...