a) 9 m b) 10.40 m c) 15.57 m d) 12 m Answer: a Explanation: ...
View QuestionA person, standing exactly midway between two towers, observes the top of the two towers at angle of elevation of 22.5° and 67.5°. What is the ratio of the height of the taller tower to the height of the shorter tower? (Given that tan 22.5° =√2-1)
A person, standing exactly midway between two towers, observes the top of the two towers at angle of ...
View QuestionAn observer 2 m tall is 10√3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is:
An observer 2 m tall is $$10\sqrt 3 $$ m away from a tower. The angle of elevation ...
View QuestionA lower subtends an angle of 30° at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60°. The height of the tower is
a) $$\frac{h}{2}\,m$$ b) $$\sqrt 3 \,h\,m$$ c) $$\frac{h}{3}\,m$$ d) $$\frac{h}{{\sqrt 3 }}\,m$$ Answer: c Explanation: Let CD ...
View QuestionThe tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with horizontal, then the length of the wire is
a) 12 m b) 10 m c) 8 m d) 6 m Answer: a Explanation: Let AB and CD ...
View QuestionA ladder makes an angle of 60° with the ground when placed against a wall. If the foot of the ladder is 2 m away from the wall, then the length of the ladder (in metres) is
a) $$\frac{4}{{\sqrt 3 }}$$ b) $$4\sqrt 3 $$ c) $$2\sqrt 2 $$ d) $$4$$ Answer: d Explanation: Suppose AB ...
View QuestionIt is found that on walking x metres towards a chimney in a horizontal line through its base, the elevation of its top changes from 30° to 60° . The height of the chimney is
a) $$3\sqrt 2 \,x$$ b) $$2\sqrt 3 \,x$$ c) $$\frac{{\sqrt 3 }}{2}\,x$$ d) $$\frac{2}{{\sqrt 3 }}\,x$$ Answer: c ...
View QuestionThe ratio of the length of a rod and its shadow is 1 : √3. The angle of elevation of the sum is
The ratio of the length of a rod and its shadow is 1 : $$\sqrt 3 $$ The ...
View QuestionIf a 1.5 m tall girl stands at a distance of 3 m from a lamp-post and casts a shadow of length 4.5 m on the ground, then the height of the lamp-post is
a) 1.5 m b) 2 m c) 2.5 m d) 2.8 m Answer: c Explanation: Let AB is girls ...
View QuestionFrom a lighthouse the angles of depression of two ships on opposite sides of the light house are observed to be 30° and 45°. If the height of the lighthouse is h metres, the distance between the ships is
a) $$\left( {\sqrt 3 + 1} \right)\,h\,{\text{metres}}$$ b) $$\left( {\sqrt 3 - 1} \right)\,h\,{\text{metres}}$$ c) $$\sqrt 3 \,h\,{\text{metres}}$$ d) $${\text{1 ...
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