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36. A lighthouse stands tall on a cliff by the sea, watching over ships that pass by. One day a ship
CASE STUDY 1
36. A lighthouse stands tall on a cliff by the sea, watching over ships that pass by. One day a ship is seen approaching the shore and from the top of the lighthouse, the angles of depression of the ship are observed to be 30° and 45° as it moves from point P to point Q. The height of the lighthouse is 50 metres.
Based on the information given above, answer the following questions :
(i) Find the distance of the ship from the base of the lighthouse when it is at point Q, where the angle of depression is 45°.
(ii) Find the measures of ∠PBA and ∠QBA.
(iii)
(a) Find the distance travelled by the ship between points P and Q.
OR
(b) If the ship continues moving towards the shore and takes 10 minutes to travel from Q to A, calculate the speed of the ship in km/h, from Q to A.
Видео 36. A lighthouse stands tall on a cliff by the sea, watching over ships that pass by. One day a ship канала Baap of Mathematics
36. A lighthouse stands tall on a cliff by the sea, watching over ships that pass by. One day a ship is seen approaching the shore and from the top of the lighthouse, the angles of depression of the ship are observed to be 30° and 45° as it moves from point P to point Q. The height of the lighthouse is 50 metres.
Based on the information given above, answer the following questions :
(i) Find the distance of the ship from the base of the lighthouse when it is at point Q, where the angle of depression is 45°.
(ii) Find the measures of ∠PBA and ∠QBA.
(iii)
(a) Find the distance travelled by the ship between points P and Q.
OR
(b) If the ship continues moving towards the shore and takes 10 minutes to travel from Q to A, calculate the speed of the ship in km/h, from Q to A.
Видео 36. A lighthouse stands tall on a cliff by the sea, watching over ships that pass by. One day a ship канала Baap of Mathematics
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30 мая 2025 г. 7:40:45
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