Height And Distance – Aptitude MCQ Questions – 05 Posted on July 6, 2020July 6, 2020 by admin 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 2The 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 3The 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 4The 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 5Two 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 6If 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 7The 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 8The 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 9A 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 10The 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 11On 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