a) $$ab$$ b) $$\sqrt {ab} $$ c) $$\frac{a}{b}$$ d) $$\sqrt {\frac{a}{b}} $$ Answer: b Explanation: Let AB be the ...
View QuestionThe 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) $$2\sqrt 3 \,x$$
View QuestionThe length of shadow of a tower on the plane ground is √3 times the height of the tower. The angle of elevation of sun is
The length of shadow of a tower on the plane ground is $$\sqrt 3 $$ times the height ...
View QuestionA man is watching from the top of tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 60 meters from the tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat, assuming that it is running in still water?
a) 32 kmph b) 36 kmph c) 38 kmph d) 40 kmph Answer: a Explanation: ...
View QuestionThe angle of elevation of a cloud from a point 200 m above a lake is 30° and the angle of depression of its reflection in the lake is 60°. The height of the cloud is-
a) 200 m b) 300 m c) 400 m d) 600 m Answer: a Explanation:
View QuestionA boy is standing at the top of the tower and another boy is at the ground at some distance from the foot of the tower, then the angle of elevation and depression between the boys when both look at a each other will be-
a) Equal b) Angle of elevation will be greater c) Cannot be predicted for relation d) Angle of depression will ...
View QuestionThe angles of elevation of the top of from two points P and Q at distance m^2 and n^2 respectively, from the base and in the same straight line with it are complementary. The height of the tower is-
a) $${\left( {mn} \right)^{\frac{1}{2}}}$$ b) $$m{n^{\frac{1}{2}}}$$ c) $${m^{\frac{1}{2}}}n$$ d) $$mn$$ Answer: d Explanation:
View QuestionIf a 30 m ladder is placed against a 15 m wall such that it just reaches the top of the wall, then the elevation of the wall is equal to-
a) 45° b) 30° c) 60° d) 50° Answer: b Explanation:
View QuestionThe angle of depression of a car, standing on the ground, from the top of a 75 m tower, is 30°. The distance of the car from the base of the tower (in metres) is
a) 25 $$\sqrt 3 $$ b) 50 $$\sqrt 3 $$ c) 75 $$\sqrt 3 $$ d) 150 Answer: c Explanation: ...
View QuestionThe angles of depression of two ships from the top of a light house are 45° and 30° towards east. If the ships are 100 m apart, the height of the light house is
a) $$\frac{{50}}{{\sqrt 3 + 1}}m$$ b) $$\frac{{50}}{{\sqrt 3 - 1}}m$$ c) $$50\left( {\sqrt 3 - 1} \right)m$$ d) $$50\left( {\sqrt 3 ...
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