^{o}and the foot of the ladder is 9.5 meter away from the wall. Find the length of the ladder. [ 19m ]

^{o}]

^{o}and at a distance of 30 m from the root. Find the total height of the tree.

^{o}. Calculate the distance covered by the artist in climbing to the top of the pole. [ 24 m ]

^{o}. When he was 40 m away from the bank he finds that the angle of elevation to be 30

^{o}. Find: -

^{o}and 45

^{o}respectively. Find the vertical distance between the aeroplanes at that at that instant. [ 1693.34 m ]

^{o}and the angle of elevation of the top of tower from the foot of hill is 30

^{o}. If the tower is 50 m high, what is the height of the hill. [ 150 m ]

^{o}and 45

^{o}, find the height of the tree.

^{o }and 30

^{o}at a point on the roadway between the pillars. Find the position of the point between the pillars and the height of each pillar. (64.95m)

^{o}. After ascending 1 km towards the mountain up an inclination of 30

^{o}, the elevation changes to 60

^{o}. Find the height of mountain. (1.366 km)

^{o}. From the bottom of the same building, the angle of elevation of the top of tower is found to be 30

^{o}. Find the height of the tower and the distance between the tower and the building. (22.5m, 12.975m)

^{o}to the road and Q observe that it is an angle of 45

^{o}to the road. Which station should send its team and how much this team has to travel? (P, 7.32km)

^{o}. Find the angle between the sunrays and the ground at the time of long shadow. ( 30

^{o})

^{o.}Another boy is standing on the roof of 25 m high building and is flying his kite at an elevation of 30

^{o.}Both the boys are on the opposite side of the two kites. Find the length of the string that the second boy must have, so that the kites meet.(56.05 m)

^{o}to 45

^{o}. Determine the distance traveled by the ship during the period of observation. ( 73.2m)

^{o}and 60

^{o}. Find the width of the river. ( 315.4m)

^{o}and 30

^{o}. Find the distance between the boats, if the boats are (i) on the side of cliff. (ii) on the opposite sides of the cliff. [ (i) 173.2m (ii) 346.4m ]

^{o}and the angle of depression of the base of the hill as 30

^{o}.Calculate the distance of the hill from the ship and the height of the hill. [17.3m, 40m].

^{o}and 60

^{o}respectively. Find (i) The difference between the heights of the light house and the building (ii) Distance between the light house and the building. [ (i) 20m, (ii) 34.64m]

^{o }and the angle of depression of the point ‘A’ from the top of tower is 45

^{o}. Find the height of tower. [ 6.83m]

^{o}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

^{o}. Find the time taken by the boat to reach the shore. [ 9 minutes]

^{o}to 45

^{o}, how soon after this will the car reach the observation tower. Give your answer correct to nearest seconds. [16 min. 24 sec.]

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