Q) Two pillars are standing on either side of a 80 m wide road. Height of one pillar is 20 m more than the height of the other pillar. From a point on the road between the pillars, the angle of elevation of the higher pillar is 60°, whereas that of the other pillar is 30°. […]
trigonometry applications
Q) The angle of elevation of the top of a vertical tower from a point P on the ground is 60°. From another point Q, 10 m vertically above the first point P, its angle of elevation is 30°. Find:(a) The height of the tower.(b) The distance of the point P from the foot of
Q) Mr. Vinod is a pilot in Air India. During the Covid-19 pandemic, many Indian passengers were stuck at Dubai Airport. The government of India sent special aircraft to take them. Mr. Vinod was leading this operation. He is flying from Dubai to New Delhi with these passengers. His airplane is approaching point A along
Q) A hot air balloon is rising vertically from a point A on the ground which is at distance of 100m from a car parked at a point P on the ground. Amar, who is riding the balloon, observes that it took him 15 seconds to reach a point B which he estimated to be
Q) A boy is standing on the top of light house. He observed that boat P and boat Q are approaching the light house from opposite directions. He finds that angle of depression of boat P is 45° and angle of depression of boat Q is 30°. He also knows that height of the light house
A boy is standing on the top of light house. He observed that boat P and boat Q Read More »
Q) One evening, Kaushik was in a park. Children were playing cricket. Birds were singing on a nearby tree of height 80m. He observed a bird on the tree at an angle of elevation of 45°.When a sixer was hit, a ball flew through the tree frightening the bird to fly away. In 2 seconds, he
One evening, Kaushik was in a park. Children were playing cricket. Birds were singing Read More »
Q) One observer estimates the angle of elevation to the basket of a hot air balloon to be 60°, while another observer 100 m away estimates the angle of elevation to be 30°. Find: (a) The height of the basket from the ground. (b) The distance of the basket from the first observer’s eye. (c)
Q) From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60 and the angle of depression of its foot is 30. Determine the height of the tower. Ans: Let’s draw a diagram with cable tower AB and Building PQ of 7m height. Angle of
Q) A straight highway leads to the foot of a tower. A man standing on the top of the 75 m high tower observes two cars at angles of depression of 30° and 60°, which are approaching the foot of the tower. If one car is exactly behind the other on the same side of
Q) From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower with angle of depression 300 and 450 respectively. Find the distance between the two cars. (use 3 = 1.73) Ans: Let PQ be the tower, A and B the two cars, man observes