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GBSSS KAIR 1822012, , , , , , , , Std 10: Maths Date: 15/01/22, Unit Test ‘Time: 30Minutes, ‘Write the answer of the following questions. {Each carries 4 Marks} 120), , ‘tree breaks due to storm and the broken part bends so that the top ofthe tee touches the ground, ‘making an angle 20° with it. The distance between the foot of the tee to the point where the top, touches the ground is 8 m. Find the height of the tree., , ‘A15 m tall boy is standing at some distance from a 30 m tall building, The angle of elevation from, his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find, the distance he walked towards the building., , {ATV tower stands vertically on a bank ofa canal. From a point on the other bank directly opposite, the tower, the angle of elevation ofthe top ofthe tower is 60°. From another point 20 m away from, this point on the line joining this point to the foot of the towescthe angle of elevation of the top, ofthe tower Is 30° (see Figure). Find the height of the tower ad the width of the cana., , A, , , , , , 71 Aww, , <—na Se B, {1.2 mal gl pots balloon moving with We wil ina horizontal ine at a heght of 82m rom, the ground. The angle of elevation of thé ballooffom the eyes of the girl at any instant is 60". After, some time, the angle of elevation reds 10 90° (see Figure). Find the distance traveled by the, balloon during the interval., , , , 8.2m, , , , B g, A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a, car at an angle of depression of 30°, which is approaching the foot ofthe tower with a uniform speed,, Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the, cat 10 reach the foot of the tower from this point.