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A cable 33m long runs from the top of a utility pole to a point on the ground 22m from the base of the pole. How tall is the utility pole

User Fotanus
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1 Answer

5 votes

Answer: 24.6 m

Explanation:

The shape described is that of a right-angled triangle.

This means that the height of the pole can be calculated using the Pythagorean rule.

c² = a² + b²

c = hypothenuse which is the length of the cable to the ground = 33m

a = base = distance from base of pole to cable point on ground = 22m

b = height of pole

33² = 22² + b²

1,089 = 484 + b²

b² = 1,089 - 484

b² = 605

b = √605

b = 24.6 m

User Rune Lyngsoe
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