A support wire for a utility pole is 40 feet long. The wire is attached to the ground 24 feet from the base of the pole. How tall is the utility pole?

32 feet

Step-by-step explanation:

given the following;

Length of wire = 40feet = hypotenuse

Base of the pole = 24 feet = adjacent

Required

Height of the pole (opposite)

Using the pythagoras theorem;

hyp^2 = opp^2 + adj^2

40^2 = 24^2 + opp^2

1600 = 576 +opp^2

opp^2 = 1600 - 576

opp^2 = 1024

opp = √1024

opp = 32feet

Hence the utility pole is 32feet tall

560

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step-by-step explanation: