Height And Distance – Aptitude MCQ Questions – 04 Posted on July 6, 2020July 6, 2020 by admin Question 1The height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes x metres less. The value of x is    A. 100m    B. 100√3 m    C. 100(√3−1)m    D. 100/√3 m Question 2 The ratio of the length of a rod and its shadow is 1 : √3  The angle of elevation of the sum is    A. 30°    B. 45°    C. 60°    D. 90° Question 3The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is    A. 12 m    B. 10 m    C. 8 m    D. 6 m Question 4A lower subtends an angle of 30° at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60°. The height of the tower is    A. h/2 m    B. √3 h m    C. h/3 m    D. h/√3 m Question 5The tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l =    A. 26    B. 16    C. 12    D. 10 Question 6A ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is    A. 4/√3    B. 4√3    C. 2√2    D. 4 Question 7If the altitude of the sun is at 60?, then the height of the vertical tower that will cast a shadow of length 30 m is    A. 30√3 m    B. 15m    C. 30/√3 m    D. 15√2 m Question 8The angle of elevation of the top of a tower standing on a horizontal plane from a point A is α. After walking a distance 'd' towards the foot of the tower the angle of elevation is found to be β. The height of the tower is    A. d/cotα+cotβ    B. d/cotα−cotβ    C. d/tanβ−tantα    D. d/tanβ+tantα Question 9The angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in metres) is    A. 50√3    B. 150√3    C. 100√3    D. 75 Question 10It is found that on walking x metres towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60° . The height of the chimney is    A. 3√2 x    B. 2√3 x    C. √3/2x    D. √2/3x