Hello Students! In this video you will learn how to solve height and distance questions.
The angle of depression of a car, standing on the ground, from the top of a car 75m high tower is 30 degree. Find the distance of the car from the base of the tower.
Two pillars of equal height and on either side of a road which is 100m wide. The angles of elevation of the top of the pillars are 60 degree and 30 degree at a point on the road between the pillars. Find the position of the point between the pillars and the height of each pillar.
The angle of elevation of the top of a vertical tower from two points distant a and b from the base and in the same line with it are complimentary. Prove that height of the tower is root ab. If a=18m, b=32m, then what will be the height of the tower?
The angle of elevation of an aeroplane from a point A on the ground is 60 degree. After flying for 15 seconds the elevation changes to 30 degree. If the aeroplane is flying at a height of 1500√3 km, find the speed of the aeroplane.
The angle of elevation of the top of a hill at the foot of the tower is 60 degree and the angle of elevation of the top of the tower from the foot of the hill is 30 degree. If the tower is 30 degree. If the tower is 50 m high, what is the height of the hill?
An observer 1.5 m tall is 28.5 m away from a tower 30 m high. Find the angle of elevation of the top of the tower from his eye.
A balloon is connected to a meteorological ground station by a cable of length 215 m inclined at 60 degree to the horizontal. Find the height of the balloon from the ground by assuming that there is no slack in the cable.
From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30 degree. Find the height of the tower.
A ladder is placed against a wall such that it just reaches the top of the wall. The foot of the ladder is 1.5 m away from the wall and the ladder is inclined at an angle of 60 degree with the ground. Find the height of the wall.
An electric pole is 10 m high. A steel wire tied to top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 45 degree with the horizontal through the foot of the pole, find the length of the wire.
Introduction to Height & Distance
Trigonometry
Class 10 Mathematics