Math, asked by ettityagi4734, 1 year ago

A tower standing vertically on the ground.from a point on the ground which is 2m away from the foot of the tower.the angle of elevation of the top of the tower is found to be 45degree

Answers

Answered by Babulal11
1
Dear user you have not told what to find out. But still i will try to give you the answer.
Solution:-

Let the height of the tower be AB.
Now,
according to the question, it has told that that a point on the ground is 2 meter far from the foot of the tower.
So let the C be the point which is on the ground.
so, from this, we conclude that,
BC= 2 meter
Now the angle of elevation to the top of the tower is 45 degree.
so,
angle ACB = 45 degree
Now we have the required triangle that is ABC.
Now by taking angle C as ø, so base is BC which 2 meter and AB as height.
Now, in triangle ABC,

tan C = Perpendicular/ Hypotenuse
tan C = height of tower / base
tan 45 = AB/BC
1 = AB/BC. [tan 45 = 1]
BC = AB
AB = 2 meter
So, now AB becames equal to BC which 2 meter.
Hence, the height of the tower is 2 meter.
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