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arithmetic aptitude :: heights and distances :: general questions




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6.

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is :


A) 173m

B) 200m

C) 273m

D) 300m



7.

An observer 1.6 m tall is 20 root of 3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is :


A) 21.6 m

B) 23.2 m

C) 24.72 m

D) None of these



8.

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is :


A) 2.3m

B) 4.6m

C) 7.8m

D) 9.2m



9.

From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is :


A) 149 m

B) 156 m

C) 173 m

D) 200m



10.

The angle of elevation of the sun, when the length of the shadow of a tree is root of 3 times the height of the tree, is :


A) 30 degree

B) 45 degree

C) 60 degree

D) 90 degree



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