a) $$\sqrt {2a} \,{\text{metres}}$$ b) $$\frac{a}{{2\sqrt 2 }}\,{\text{metres}}$$ c) $$\frac{a}{{\sqrt 2 }}\,{\text{metres}}$$ d) $$2a\,{\text{metres}}$$ Answer: b Explanation: Let height ...
View QuestionA ladder 15 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is
a) $$15\sqrt 3 \,m$$ b) $$\frac{{15\sqrt 3 }}{2}\,m$$ c) $$\frac{{15}}{2}\,m$$ d) $$15\,m$$ Answer: b Explanation: Let AB is ...
View QuestionIf the angles of elevation of a tower from two points distance a and b (a > b) from its foot and in the same straight line from it are 30° and 60°, then the height of the tower is?
a) $$\sqrt {a + b} $$ b) $$\sqrt {ab} $$ c) $$\sqrt {a - b} $$ d) $$\sqrt {\frac{a}{b}} $$
View QuestionFrom a point P on a level ground, the angle of elevation of the top tower is 30º. 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) 200 m Answer: c Explanation: Let AB ...
View QuestionAn observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:
An observer 1.6 m tall is 20√3 away from a tower. The angle of elevation from his eye ...
View QuestionThe angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
a) 2.3 m b) 4.6 m c) 7.8 m d) 9.2 m Answer: d Explanation: Let AB be the ...
View QuestionA man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man’s eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
a) 4 √3 units b) 8 units c) 12 units d) Data inadequate Answer: d Explanation: One ...
View QuestionTwo 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 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is: ages is:
a) 173 m b) 200 m c) 273 m d) 300 m Answer: c Explanation: ...
View QuestionWhen the sun’s altitude changes from 30° to 60°, the length of the shadow of a tower decreases by 70m. What is the height of the tower?
a) 35 m b) 140 m c) 60.6 m d) 20.2 m Answer: c Explanation: ...
View QuestionTo a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and he is 5 m away from the wall, what is the length of the window?
a) 8.65 m b) 2 m c) 2.5 m d) 3.65 m Answer: d Explanation: ...
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