# 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 6âˆšÂ 3 m long?

 Â Â Â A. 30Â° Â Â Â B. 60Â° Â Â Â C. 45Â° Â Â Â 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 45Â° and 60Â°. What is the distance between these two points?

 Â Â Â A. 45 m Â Â Â B. 30 m Â Â Â C. 103.8 m Â Â Â 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 Î±. After walking a distance 'd' towards the foot of the tower the angle of elevation is found to be Î². The height of the tower is

 Â Â Â A. d/cotÎ±+cotÎ² Â Â Â B. d/cotÎ±âˆ’cotÎ² Â Â Â C. d/tanÎ²âˆ’tantÎ± Â Â Â D. d/tanÎ²+tantÎ±

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

 Â Â Â A. 14.8 m Â Â Â B. 6.2 m Â Â Â C. 12.4 m Â Â Â 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 30Âº and 45Âº respectively. If the lighthouse is 200 m high, the distance between the two ships is:

 Â Â Â A. 600 m Â Â Â B. 273 m Â Â Â C. 546 m Â Â Â 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

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

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

 Â Â Â A. 64.2 m Â Â Â B. 62.2 m Â Â Â C. 52.2 m Â Â Â 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

 Â Â Â A. 45Â° Â Â Â B. 30Â° Â Â Â C. 60Â° Â Â Â D. 90Â°

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 60Â°. If the point at which John is standing is 150 m away from point A, what is the speed of the balloon?

 Â Â Â A. 0.63 meter/sec Â Â Â B. 2.16 meter/sec Â Â Â C. 3.87 meter/sec Â Â Â 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 sunâ€™s elevation is 30Â° than when it was 45 Â°. The height of the tower in meters is

 Â Â Â A. $$\left( {\sqrt 3 + 1} \right)\,x$$ Â Â Â B. $$\left( {\sqrt 3 - 1} \right)\,x$$ Â Â Â C. $$2\sqrt 3 \,x$$ Â Â Â 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 45Â° and 60Â°. If the height of the tower is 600 m, the distance between the objects is approximately equal to :

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