The angle of elevation of the top of the tower from a point on the ground is $${\sin ...
View QuestionThe angles of depression and elevation of the top of a wall 11 m high from top and bottom of a tree are 60° and 30° respectively. What is the height of the tree?
a) 22 m b) 44 m c) 33 m d) None of these Answer: b Explanation: ...
View QuestionFrom a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 200 m high, the distance of point P from the foot of the tower is:
a) 346 m b) 400 m c) 312 m d) 298 m Answer: a Explanation: ...
View QuestionThe angle of elevation of the top of a tower standing on a horizontal plane from a point A is α. After walking a distance ‘d’ towards the foot of the tower the angle of elevation is found to be β. The height of the tower is:
The angle of elevation of the top of a tower standing on a horizontal plane from a point ...
View QuestionThe height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes x metres less. The value of x is
a) $$100\,m$$ b) $$100\sqrt 3 \,m$$ c) $$100\left( {\sqrt 3 - 1} \right)\,m$$ d) $$\frac{{100}}{{\sqrt 3 }}\,m$$ Answer: c
View QuestionThe tops of two poles of height 16 m and 10 m are connected by a wire of length l metres. If the wire makes an angle of 30° with the horizontal, then l =
a) 26 b) 16 c) 12 d) 10 Answer: c Explanation: Let AB and CD are two poles AB ...
View QuestionIf the altitude of the sun is at 60°, then the height of the vertical tower that will cast a shadow of length 30 m is
a) $$30\sqrt 3 \,m$$ b) $$15\,m$$ c) $$\frac{{30}}{{\sqrt 3 }}\,m$$ d) $$15\sqrt 2 \,m$$ Answer: a ...
View QuestionThe angle of depression of a car parked on the road from the top of a 150 m high tower is 30°. The distance of the car from the tower (in metres) is
a) 50 $$\sqrt 3 $$ b) 150 $$\sqrt 3 $$ c) 100 $$\sqrt 3 $$ d) 75 Answer: b ...
View QuestionOn 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 600 m, the distance between the objects is approximately equal to :
a) 272 m b) 284 m c) 288 m d) 254 m Answer: d Explanation:
View QuestionThe angle of elevation of the top of a lighthouse 60 m high, from two points on the ground on its opposite sides are 45° and 60°. What is the distance between these two points?
a) 45 m b) 30 m c) 103.8 m d) 94.6 m Answer: d Explanation:
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