Q) An observer 1.5 m tall is 28.5 m away from a tower and the angle of elevation of the top of the tower from the eye of the observer is 45 degrees. What is the height of the tower? Ans: Step 1: Let’s draw a diagram for the given question: Let the tower be […]
trigonometry applications
Q) An observer 1.5 m tall is 28.5 m away from a 30 m high tower. Determine the angle of elevation of the top of the tower from the eye of the observer. Ans: Step 1: Let’s draw a diagram for the given question: Let the tower be AB and observer be CD. We need
Q) The angles of depression of the top and the bottom of a 50 m high building from the top of a tower are 45° and 60°, respectively. Find the height of the tower. (Use √3 = 1·73) Ans: Let’s start with the diagram for this question: Here we have tower AB is the tower
The angles of depression of the top and the bottom of a 50 m high building from the Read More »
Q) Two pillars of equal lengths stand on either side of a road which is 100 m wide, exactly opposite to each other. At a point on the road between the pillars, the angles of elevation of the tops of the pillars are 60° and 30°. Find the length of each pillar and distance of
Two pillars of equal lengths stand on either side of a road which is 100 m wide Read More »
Q) 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 time taken by the boat from
A man on a cliff observes a boat at an angle of depression of 30° which is approaching Read More »
Q) The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 30 seconds, the angle of elevation changes to 30°. If the jet plane is flying at a constant height of 3600 √3 m, find the speed of the jet plane. Ans: Let’s start
Q) A boy whose eye level is 1.35 m from the ground, spots a balloon moving with the wind in a horizontal line at some height from the ground. The angle of elevation of the balloon from the eyes of the boy at an instant is 60. After 12 seconds, the angle of elevation reduces
A boy whose eye level is 1.35 m from the ground, spots a balloon moving with the wind Read More »
Q) From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively. Find the height of the tower. Ans: Let’s start from the diagram for the question: Let ‘s take BC
From a point on the ground, the angles of elevation of the bottom and the top of a Read More »
Q) A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of height 7m. From a point on the plane, the angle of elevation of the bottom of the flagstaff is 30° and that of the top of the flagstaff is 45°. Find the height of the tower. Ans: Let’s
A vertical tower stands on a horizontal plane and is surmounted by a flagstaff of Read More »
Q) Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the height of the poles and the distances of
Two poles of equal heights are standing opposite each other on either side of the road, Read More »