100+ Heights and Distance Aptitude Questions and Answers - 1
Question: 1
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 150 m, the distance between the objects is
(A) 53.5 m
(B) 63.5 m
(C) 76.9 m
(D) 86.7 m
Ans: B

Question: 2
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) 173 m
(B) 200 m
(C) 240 m
(D) 273 m
Ans: D

Question: 3
If a 30 m ladder is placed against 1 15 m wall such that it just reaches the top of the wall, then the elevation of the wall is equal to
(A) 30°
(B) 45°
(C) 50°
(D) 60°
Ans: A

Question: 4
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of elevation becomes 60°. What is the distance between the base of the tower and the point P?
(A) 4 units
(B) 8 units
(C) 12 units
(D) Data inadequate
Ans: D

Question: 5
The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree is
(A) 20°
(B) 30°
(C) 40°
(D) 50°
Ans: B
Let AB be the tree and AC be its shadow.
Let ∠ACB = Θ.
Then, $${AC}/ {AB}$$ = &radic3;
⇒ cot θ = &radic3; ⇒ = θ = 30°

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