Solution:
Length of wire = 22 feet =AB
Distance between the point where wire is attached to the ground from the point on the ground where pole is fixed= 10 feet=OB
In Right Δ O A B
By Using pythagoras theorem
O A² + OB² = AB²
O A² +10²= 22²
O A²= 484 - 100
O A²= 384
O A= √384= 19.60 (Approximately)
So, the height of pole to nearest hundredth = 19.60 feet
The height of the pole is 19.60 ft
The situation forms a right angle triangle.
Right angle triangle have one of its sides as 90 degree.
The length of the wire is the hypotenuse of the triangle formed.
The distance of the wire attached to the ground to the base of the pole is the adjacent side of the triangle.
The height of the pole can be found using Pythagoras theorem.
c² = a² + b²
22² - 10² = b²
b² = 484 - 100
b = √384
b = 19.5959179423
b = 19.60 ft
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