# Height And Distance – Aptitude MCQ Questions – 05

Question 1

Find the angle of elevation of the sun when the shadow of a pole of 18 m height is 6 3 m long?

 A. 30° B. 60° C. 45° D. None of these

Question 2
The angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?

 A. 45 m B. 30 m C. 103.8 m D. 94.6 m

Question 3
The 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 4
The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 12.4 m away from the wall. The length of the ladder is:

 A. 14.8 m B. 6.2 m C. 12.4 m D. 24.8 m

Question 5
Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 200 m high, the distance between the two ships is:

 A. 600 m B. 273 m C. 546 m D. 446 m

Question 6
If the angle of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with It are complementary, then the height of the tower is

 A. $$ab$$ B. $$\sqrt {ab}$$ C. $$\frac{a}{b}$$ D. $$\sqrt {\frac{a}{b}}$$

Question 7
The angle of elevation of the top of a tower from a certain point is 30°. If the observer moves 40 m towards the tower, the angle of elevation of the top of the tower increases by 15°. The height of the tower is:

 A. 64.2 m B. 62.2 m C. 52.2 m D. 54.6 m

Question 8
The length of shadow of a tower on the plane ground is $$\sqrt 3$$ times the height of the tower. The angle of elevation of sun is

 A. 45° B. 30° C. 60° D. 90°

Question 9
A balloon leaves the earth at a point A and rises vertically at uniform speed. At the end of 2 minutes, John finds the angular elevation of the balloon as 60°. If the point at which John is standing is 150 m away from point A, what is the speed of the balloon?

 A. 0.63 meter/sec B. 2.16 meter/sec C. 3.87 meter/sec D. 0.72 meter/sec

Question 10
The length of the shadow of a tower standing on level ground is found to 2x meter longer when the sun’s elevation is 30° than when it was 45 °. The height of the tower in meters is

 A. $$\left( {\sqrt 3 + 1} \right)\,x$$ B. $$\left( {\sqrt 3 - 1} \right)\,x$$ C. $$2\sqrt 3 \,x$$ D. $$3\sqrt 2 \,x$$

Question 11
On the same side of a tower, two objects are located. Observed from the top of the tower, their angles of depression are 45° and 60°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :

 A. 272 m B. 284 m C. 288 m D. 254 m