A tower is 173.2m tall. From a point on the ground in line with the foot of the tower, a
rope of length 200m is tied to the top of the tower which makes an angle x with the
horizontal. Find x.
Pls give explaination.
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A tower is 173.2m tall. From a point on the ground in line with the foot of the tower, a
rope of length 200m is tied to the top of the tower which makes an angle x with the
horizontal. Find x.
Pls give explaination.
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Answer:
The answer will be 60°(nearly).
Step-by-step explanation:
We have given;
Height of tower = 173.2m
rope length = 200m
here, rope is acting like a hypotaneus and the tower as a perpendicular.
So, the distance from the tower base to the point on the ground equals;
(200)^2 = (x)^2 + (173.2)^2;
40000 = x^2 + 29998.24;
x^2 = 10001.76
x = 100 (approx.)
Let the asked angle be θ.
Hence, cosθ = distance between the tower's foot and the point on the ground / length of rope; (since cosθ is given by adjacent side upon hypotaneus)
cos θ = 100/200;
cosθ = 1/2;
cosθ = cos 60°;
Therefore, θ = 60°( approx.)
That's all.