Heights and Distances (Part 2) Some Applications of Trigonometry | CBSE | Class 10 | Math

Q6. Two pillars of equal heights stand on either side of a road which is 100 m wide. 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 height of each pillar and position of the point on the road.

Q5. From a point 0 on the ground, the angle of elevation of the top of a tower is 30° and that of the top of the flagstaff on the top of the tower is 60°. If the length of the flagstaff is 5 m, find the height of the tower.

Q4. The shadow of a tower standing on a level ground is found to be 30 m longer when the sun's altitude is 30°, than when it was 60°. Find the height of the tower.

Q3. A tower is 50 m high. Its shadow is x metres shorter when the sun's altitude is 45° than when it is 30°. Find the value of x.

Q2. The shadow of a tower , when the angle of elevation of the sun is 45°, is found to be 10 m longer than when the angle of elevation is 60°. Find the height of the tower.

Q1. If a 1.5 m tall girl stands at a distance of 3m from a lamp post and casts a shadow of length 4.5m on the ground then fmd the height of the lamp post.