Advertisements
Advertisements
प्रश्न
An electric pole is 10 m high. A steel wire tied to the top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 45° with the horizontal through the foot of the pole, find the length of the wire.
उत्तर
Let AC be the wire length, hm and C be the point, makes an angle of 45°
In a triangle, ABC, given that height of the electric pole is BC = 2m and angle C = 45°
Now we have to find the length of wire.
So we use trigonometrically ratios.
In a triangle ABC,
`sin C = "Opposite side"/"Hypotenuse"`
`=> sin 45^@= 10/h`
`=> 1/sqrt2 = 10/h`
`h = 10sqrt2`
Therefore h = 14.1
Hence the length of wire is 14.1 meters
APPEARS IN
संबंधित प्रश्न
From a point on a bridge across a river, the angles of depression of the banks on opposite side of the river are 30° and 45° respectively. If the bridge is at the height of 30 m from the banks, find the width of the river.
There are two temples, one on each bank of a river, just opposite to each other. One temple is 50 m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. Find the width of the river and the height of the other temple.
The angle of elevation of a stationary cloud from a point 2500 m above a lake is 15° and the angle of depression of its reflection in the lake is 45°. What is the height of the cloud above the lake level? (Use tan 15° = 0.268)
A boy is standing on the ground and flying a kite with 100 m of string at an elevation of 30°. Another boy is sanding on the roof of a 10 m high building and is flying his kite at an elevation of 45°. Both the boys are on opposite sides of both the kites. Find the length of the string that the second boy must have so that the two kites meet.
The tops of two poles of height 16 m and 10 m are connected by a wire of length lmetres. If the wire makes an angle of 30° with the horizontal, then l =
The height of the vertical pole is \[\sqrt{3}\] times the length of its shadow on the ground, then angle of elevation of the sun at that time is
If the ratio of the height of a tower and the length of its shadow is `sqrt(3): 1`, then the angle of elevation of the sun has measure
The angle of elevation of a cloud from a point h metres above a lake is β. The angle of depression of its reflection in the lake is 45°. The height of location of the cloud from the lake is
The tops of two poles of heights 20 m and 14 m are connected by a wire. If the wire makes an angle of 30° with the horizontal, then the length of the wire is ____________.
A TV tower stands vertically on a bank of a canal, with a height of `10 sqrt3` m. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From another point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30°. Find the distance between the opposite bank of the canal and the point with a 30° angle of elevation.
